document.write( "Question 21230: -4(x-2)+3x=6x+5-2x \n" ); document.write( "

Algebra.Com's Answer #10626 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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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=0.6.
Graphical form: Equation $\"-4%2A%28x-2%29%2B3x=6x%2B5-2x\"$ was fully solved.
Text form: -4*(x-2)+3x=6x+5-2x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-4%2A%28x-2%29%2B3x=6x%2B5-2x+%29\"$
For tutors: simplify_cartoon( -4*(x-2)+3x=6x+5-2x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-4%2A%28x-2%29%2B3%2Ax=6%2Ax%2Bhighlight_red%28+5+%29-2%2Ax\"$ .
Moved $\"5\"$ to the right of expression
It becomes $\"-4%2A%28x-2%29%2B3%2Ax=6%2Ax-2%2Ax%2Bhighlight_green%28+5+%29\"$ .
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Look at $\"-4%2A%28x-2%29%2B3%2Ax=highlight_red%28+6%2Ax+%29-highlight_red%28+2%2Ax+%29%2B5\"$ .
Eliminated similar terms $\"highlight_red%28+6%2Ax+%29\"$ , $\"highlight_red%28+-2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%286-2%29%2Ax+%29\"$
It becomes $\"-4%2A%28x-2%29%2B3%2Ax=highlight_green%28+%286-2%29%2Ax+%29%2B5\"$ .
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Look at $\"-4%2A%28x-2%29%2B3%2Ax=%28highlight_red%28+6+%29-highlight_red%28+2+%29%29%2Ax%2B5\"$ .
Added fractions or integers together
It becomes $\"-4%2A%28x-2%29%2B3%2Ax=%28highlight_green%28+4+%29%29%2Ax%2B5\"$ .
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Look at $\"-4%2A%28x-2%29%2B3%2Ax=highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B5\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"-4%2A%28x-2%29%2B3%2Ax=highlight_green%28+4+%29%2Ax%2B5\"$ .
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Look at $\"-4%2A%28x-2%29%2B3%2Ax=highlight_red%28+4%2Ax%2B5+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2Ax+%29\"$ , $\"highlight_green%28+-5+%29\"$
It becomes $\"-4%2A%28x-2%29%2B3%2Ax-highlight_green%28+4%2Ax+%29-highlight_green%28+5+%29=0\"$ .
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Look at $\"-4%2A%28x-2%29%2Bhighlight_red%28+3%2Ax+%29-highlight_red%28+4%2Ax+%29-5=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Ax+%29\"$ , $\"highlight_red%28+-4%2Ax+%29\"$ replacing them with $\"highlight_green%28+%283-4%29%2Ax+%29\"$
It becomes $\"-4%2A%28x-2%29%2Bhighlight_green%28+%283-4%29%2Ax+%29-5=0\"$ .
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Look at $\"-4%2A%28x-2%29%2B%28highlight_red%28+3+%29-highlight_red%28+4+%29%29%2Ax-5=0\"$ .
Added fractions or integers together
It becomes $\"-4%2A%28x-2%29%2B%28highlight_green%28+-1+%29%29%2Ax-5=0\"$ .
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Look at $\"-4%2A%28x-2%29%2B%28highlight_red%28+-1+%29%29%2Ax-5=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"-4%2A%28x-2%29%2B%28-highlight_green%28+1+%29%29%2Ax-5=0\"$ .
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Look at $\"-4%2A%28x-2%29%2Bhighlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29-5=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-4%2A%28x-2%29-highlight_green%28+1+%29%2Ax-5=0\"$ .
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Look at $\"-4%2A%28x-2%29-highlight_red%28+1+%29%2Ax-5=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-4%2A%28x-2%29-x-5=0\"$ .
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Look at $\"-highlight_red%28+4%2A%28x-2%29+%29-x-5=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%28x-2%29\"$
It becomes $\"-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A2+%29-x-5=0\"$ .
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Look at $\"-4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+2+%29-x-5=0\"$ .
Multiplied numerator integers
It becomes $\"-4%2Ax%2Bhighlight_green%28+8+%29-x-5=0\"$ .
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Look at $\"-4%2Ax%2Bhighlight_red%28+8+%29-x-highlight_red%28+5+%29=0\"$ .
Added fractions or integers together
It becomes $\"-4%2Ax%2Bhighlight_green%28+3+%29-x=0\"$ .
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Look at $\"-4%2Ax%2Bhighlight_red%28+3+%29-x=0\"$ .
Moved $\"3\"$ to the right of expression
It becomes $\"-4%2Ax-x%2Bhighlight_green%28+3+%29=0\"$ .
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Look at $\"-highlight_red%28+4%2Ax+%29-highlight_red%28+x+%29%2B3=0\"$ .
Eliminated similar terms $\"highlight_red%28+-4%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%28-4-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-4-1%29%2Ax+%29%2B3=0\"$ .
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Look at $\"%28-highlight_red%28+4+%29-highlight_red%28+1+%29%29%2Ax%2B3=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-5+%29%29%2Ax%2B3=0\"$ .
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Look at $\"%28highlight_red%28+-5+%29%29%2Ax%2B3=0\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"%28-highlight_green%28+5+%29%29%2Ax%2B3=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29%2B3=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"-highlight_green%28+5+%29%2Ax%2B3=0\"$ .
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Look at $\"highlight_red%28+-5%2Ax%2B3+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-5%2Ax%2B3=0+%29\"$ equivalent to -5*x+3 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=0.6.

Universal Simplifier and Solver

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Done!

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