document.write( "Question 6702: please me solve this equation:find for the unknown
\n" ); document.write( "1.3bx-2=4ax+3: find for the x\r
\n" ); document.write( "\n" ); document.write( "2.4x+3=10x+5\r
\n" ); document.write( "\n" ); document.write( "3.81x+13=100x-2\r
\n" ); document.write( "\n" ); document.write( "4.(x+2) (x+3)=(x+4) (x-2)\r
\n" ); document.write( "\n" ); document.write( "5.ax+5=bx-2 \n" ); document.write( "

Algebra.Com's Answer #3685 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
i'll solve a couple and you do the rest, okay?\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=-0.333333333333333.
Graphical form: Equation $\"4x%2B3=10x%2B5\"$ was fully solved.
Text form: 4x+3=10x+5 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+4x%2B3=10x%2B5+%29\"$
For tutors: simplify_cartoon( 4x+3=10x+5 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"4%2Ax%2B3=highlight_red%28+10%2Ax%2B5+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-10%2Ax+%29\"$ , $\"highlight_green%28+-5+%29\"$
It becomes $\"4%2Ax%2B3-highlight_green%28+10%2Ax+%29-highlight_green%28+5+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+3+%29-10%2Ax-highlight_red%28+5+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Ax%2Bhighlight_green%28+-2+%29-10%2Ax=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+-2+%29-10%2Ax=0\"$ .
Moved $\"-2\"$ to the right of expression
It becomes $\"4%2Ax-10%2Ax%2Bhighlight_green%28+-2+%29=0\"$ .
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Look at $\"4%2Ax-10%2Ax%2Bhighlight_red%28+-2+%29=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"4%2Ax-10%2Ax-highlight_green%28+2+%29=0\"$ .
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Look at $\"highlight_red%28+4%2Ax+%29-highlight_red%28+10%2Ax+%29-2=0\"$ .
Eliminated similar terms $\"highlight_red%28+4%2Ax+%29\"$ , $\"highlight_red%28+-10%2Ax+%29\"$ replacing them with $\"highlight_green%28+%284-10%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%284-10%29%2Ax+%29-2=0\"$ .
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Look at $\"%28highlight_red%28+4+%29-highlight_red%28+10+%29%29%2Ax-2=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-6+%29%29%2Ax-2=0\"$ .
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Look at $\"%28highlight_red%28+-6+%29%29%2Ax-2=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"%28-highlight_green%28+6+%29%29%2Ax-2=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+6+%29%29%2Ax+%29-2=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-highlight_green%28+6+%29%2Ax-2=0\"$ .
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Look at $\"highlight_red%28+-6%2Ax-2+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-6%2Ax-2=0+%29\"$ equivalent to -6*x-2 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-0.333333333333333.

Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=-4.66666666666667.
Graphical form: Equation $\"%28x%2B2%29%2A%28x%2B3%29=%28x%2B4%29%2A%28x-2%29\"$ was fully solved.
Text form: (x+2)*(x+3)=(x+4)*(x-2) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28x%2B2%29%2A%28x%2B3%29=%28x%2B4%29%2A%28x-2%29+%29\"$
For tutors: simplify_cartoon( (x+2)*(x+3)=(x+4)*(x-2) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"%28x%2B2%29%2A%28x%2B3%29=highlight_red%28+%28x%2B4%29%2A%28x-2%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-%28x%2B4%29%2A%28x-2%29+%29\"$
It becomes $\"%28x%2B2%29%2A%28x%2B3%29-highlight_green%28+%28x%2B4%29%2A%28x-2%29+%29=0\"$ .
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Look at $\"highlight_red%28+%28x%2B2%29%2A%28x%2B3%29+%29-%28x%2B4%29%2A%28x-2%29=0\"$ .
Expanded term $\"%28x%2B3%29\"$ by using associative property on $\"%28x%2B2%29\"$
It becomes

.
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Look at $\"highlight_red%28+%28x%2B3%29%2Ax+%29%2B%28x%2B3%29%2A2-%28x%2B4%29%2A%28x-2%29=0\"$ .
Expanded term $\"x\"$ by using associative property on $\"%28x%2B3%29\"$
It becomes

.
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Look at

.
Reduce similar several occurrences of $\"highlight_red%28+x+%29\"$ to $\"highlight_green%28+x%5E2+%29\"$
It becomes $\"highlight_green%28+x%5E2+%29%2Bx%2A3%2B%28x%2B3%29%2A2-%28x%2B4%29%2A%28x-2%29=0\"$ .
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Look at $\"x%5E2%2Bx%2A3%2Bhighlight_red%28+%28x%2B3%29%2A2+%29-%28x%2B4%29%2A%28x-2%29=0\"$ .
Expanded term $\"2\"$ by using associative property on $\"%28x%2B3%29\"$
It becomes

.
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Look at

.
Multiplied numerator integers
It becomes $\"x%5E2%2Bx%2A3%2B2%2Ax%2Bhighlight_green%28+6+%29-%28x%2B4%29%2A%28x-2%29=0\"$ .
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Look at $\"x%5E2%2Bx%2A3%2B2%2Ax%2Bhighlight_red%28+6+%29-%28x%2B4%29%2A%28x-2%29=0\"$ .
Moved $\"6\"$ to the right of expression
It becomes $\"x%5E2%2Bx%2A3%2B2%2Ax-%28x%2B4%29%2A%28x-2%29%2Bhighlight_green%28+6+%29=0\"$ .
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Look at

.
Eliminated similar terms $\"highlight_red%28+x%2A3+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%283%2B2%29%2Ax+%29\"$
It becomes $\"x%5E2%2Bhighlight_green%28+%283%2B2%29%2Ax+%29-%28x%2B4%29%2A%28x-2%29%2B6=0\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"x%5E2%2B%28highlight_green%28+5+%29%29%2Ax-%28x%2B4%29%2A%28x-2%29%2B6=0\"$ .
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Look at $\"x%5E2%2Bhighlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-%28x%2B4%29%2A%28x-2%29%2B6=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"x%5E2%2Bhighlight_green%28+5+%29%2Ax-%28x%2B4%29%2A%28x-2%29%2B6=0\"$ .
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Look at $\"x%5E2%2B5%2Ax-highlight_red%28+%28x%2B4%29%2A%28x-2%29+%29%2B6=0\"$ .
Expanded term $\"-%28x-2%29\"$ by using associative property on $\"%28x%2B4%29\"$
It becomes

.
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Look at $\"x%5E2%2B5%2Ax-highlight_red%28+%28x-2%29%2Ax+%29-%28x-2%29%2A4%2B6=0\"$ .
Expanded term $\"-x\"$ by using associative property on $\"%28x-2%29\"$
It becomes

.
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Look at $\"x%5E2%2B5%2Ax-highlight_red%28+x+%29%2Ahighlight_red%28+x+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0\"$ .
Reduce similar several occurrences of $\"highlight_red%28+x+%29\"$ to $\"highlight_green%28+x%5E2+%29\"$
It becomes $\"x%5E2%2B5%2Ax-highlight_green%28+x%5E2+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"highlight_red%28+x%5E2+%29%2B5%2Ax-highlight_red%28+x%5E2+%29%2Bx%2A2-%28x-2%29%2A4%2B6=0\"$ .
Eliminated similar terms $\"highlight_red%28+x%5E2+%29\"$ , $\"highlight_red%28+-x%5E2+%29\"$ replacing them with $\"highlight_green%28+%281-1%29%2Ax%5E2+%29\"$
It becomes $\"highlight_green%28+%281-1%29%2Ax%5E2+%29%2B5%2Ax%2Bx%2A2-%28x-2%29%2A4%2B6=0\"$ .
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Look at

.
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+x%2A2+%29\"$ replacing them with $\"highlight_green%28+%285%2B2%29%2Ax+%29\"$
It becomes $\"%281-1%29%2Ax%5E2%2Bhighlight_green%28+%285%2B2%29%2Ax+%29-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"highlight_red%28+%281-1%29%2Ax%5E2+%29%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
Since $\"highlight_red%28+%281-1%29%2Ax%5E2+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"0%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
Added fractions or integers together
It becomes $\"0%2B%285%2B2%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"0%2B%28highlight_red%28+5+%29%2Bhighlight_red%28+2+%29%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
Added fractions or integers together
It becomes $\"0%2B%28highlight_green%28+7+%29%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"highlight_red%28+0+%29%2B%287%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"%287%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+7+%29%29%2Ax+%29-%28x-2%29%2A4%2B6=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+7+%29\"$
It becomes $\"highlight_green%28+7+%29%2Ax-%28x-2%29%2A4%2B6=0\"$ .
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Look at $\"7%2Ax-highlight_red%28+%28x-2%29%2A4+%29%2B6=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%28x-2%29\"$
It becomes $\"7%2Ax-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A2+%29%2B6=0\"$ .
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Look at $\"7%2Ax-4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2B6=0\"$ .
Multiplied numerator integers
It becomes $\"7%2Ax-4%2Ax%2Bhighlight_green%28+8+%29%2B6=0\"$ .
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Look at $\"7%2Ax-4%2Ax%2Bhighlight_red%28+8+%29%2Bhighlight_red%28+6+%29=0\"$ .
Added fractions or integers together
It becomes $\"7%2Ax-4%2Ax%2Bhighlight_green%28+14+%29=0\"$ .
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Look at $\"highlight_red%28+7%2Ax+%29-highlight_red%28+4%2Ax+%29%2B14=0\"$ .
Eliminated similar terms $\"highlight_red%28+7%2Ax+%29\"$ , $\"highlight_red%28+-4%2Ax+%29\"$ replacing them with $\"highlight_green%28+%287-4%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%287-4%29%2Ax+%29%2B14=0\"$ .
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Look at $\"%28highlight_red%28+7+%29-highlight_red%28+4+%29%29%2Ax%2B14=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2Ax%2B14=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B14=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2Ax%2B14=0\"$ .
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Look at $\"highlight_red%28+3%2Ax%2B14+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2Ax%2B14=0+%29\"$ equivalent to 3*x+14 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-4.66666666666667.

Universal Simplifier and Solver

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Done!

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