document.write( "Question 213470This question is from textbook
\n" ); document.write( ": solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x) \n" ); document.write( "

Algebra.Com's Answer #161265 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
7x - 3(4 - 2x)= 2(x-3)- (5-x)\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=0.1.
Graphical form: Equation $\"7x-3%2A%284-2x%29=2%2A%28x-3%29-%285-x%29\"$ was fully solved.
Text form: 7x-3*(4-2x)=2*(x-3)-(5-x) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+7x-3%2A%284-2x%29=2%2A%28x-3%29-%285-x%29+%29\"$
For tutors: simplify_cartoon( 7x-3*(4-2x)=2*(x-3)-(5-x) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"7%2Ax-3%2A%28highlight_red%28+4+%29-2%2Ax%29=2%2A%28x-3%29-%285-x%29\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"7%2Ax-3%2A%28-2%2Ax%2Bhighlight_green%28+4+%29%29=2%2A%28x-3%29-%285-x%29\"$ .
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Look at $\"7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_red%28+%285-x%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+-5+%29\"$ , $\"highlight_red%28+x+%29\"$
It becomes $\"7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_green%28+5+%29%2Bhighlight_green%28+x+%29\"$ .
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Look at $\"7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_red%28+5+%29%2Bx\"$ .
Moved $\"-5\"$ to the right of expression
It becomes $\"7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29%2Bx-highlight_green%28+5+%29\"$ .
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Look at $\"7%2Ax-3%2A%28-2%2Ax%2B4%29=highlight_red%28+2%2A%28x-3%29%2Bx-5+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-2%2A%28x-3%29+%29\"$ , $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+5+%29\"$
It becomes

.
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Look at $\"highlight_red%28+7%2Ax+%29-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29-highlight_red%28+x+%29%2B5=0\"$ .
Eliminated similar terms $\"highlight_red%28+7%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%287-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%287-1%29%2Ax+%29-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+6+%29%29%2Ax-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0\"$ .
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Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"highlight_green%28+6+%29%2Ax-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0\"$ .
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Look at $\"6%2Ax-highlight_red%28+3%2A%28-2%2Ax%2B4%29+%29-2%2A%28x-3%29%2B5=0\"$ .
Expanded term $\"-3\"$ by using associative property on $\"%28-2%2Ax%2B4%29\"$
It becomes $\"6%2Ax%2Bhighlight_green%28+3%2A2%2Ax+%29-highlight_green%28+3%2A4+%29-2%2A%28x-3%29%2B5=0\"$ .
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Look at $\"6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax-3%2A4-2%2A%28x-3%29%2B5=0\"$ .
Multiplied numerator integers
It becomes $\"6%2Ax%2Bhighlight_green%28+6+%29%2Ax-3%2A4-2%2A%28x-3%29%2B5=0\"$ .
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Look at $\"6%2Ax%2B6%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-2%2A%28x-3%29%2B5=0\"$ .
Multiplied numerator integers
It becomes $\"6%2Ax%2B6%2Ax-highlight_green%28+12+%29-2%2A%28x-3%29%2B5=0\"$ .
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Look at $\"6%2Ax%2B6%2Ax-highlight_red%28+12+%29-2%2A%28x-3%29%2Bhighlight_red%28+5+%29=0\"$ .
Added fractions or integers together
It becomes $\"6%2Ax%2B6%2Ax%2Bhighlight_green%28+-7+%29-2%2A%28x-3%29=0\"$ .
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Look at $\"6%2Ax%2B6%2Ax%2Bhighlight_red%28+-7+%29-2%2A%28x-3%29=0\"$ .
Moved $\"-7\"$ to the right of expression
It becomes $\"6%2Ax%2B6%2Ax-2%2A%28x-3%29%2Bhighlight_green%28+-7+%29=0\"$ .
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Look at $\"6%2Ax%2B6%2Ax-2%2A%28x-3%29%2Bhighlight_red%28+-7+%29=0\"$ .
Removed extra sign in front of $\"-7\"$
It becomes $\"6%2Ax%2B6%2Ax-2%2A%28x-3%29-highlight_green%28+7+%29=0\"$ .
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Look at $\"highlight_red%28+6%2Ax+%29%2Bhighlight_red%28+6%2Ax+%29-2%2A%28x-3%29-7=0\"$ .
Eliminated similar terms $\"highlight_red%28+6%2Ax+%29\"$ , $\"highlight_red%28+6%2Ax+%29\"$ replacing them with $\"highlight_green%28+%286%2B6%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%286%2B6%29%2Ax+%29-2%2A%28x-3%29-7=0\"$ .
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Look at $\"%28highlight_red%28+6+%29%2Bhighlight_red%28+6+%29%29%2Ax-2%2A%28x-3%29-7=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+12+%29%29%2Ax-2%2A%28x-3%29-7=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+12+%29%29%2Ax+%29-2%2A%28x-3%29-7=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+12+%29\"$
It becomes $\"highlight_green%28+12+%29%2Ax-2%2A%28x-3%29-7=0\"$ .
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Look at $\"12%2Ax-highlight_red%28+2%2A%28x-3%29+%29-7=0\"$ .
Expanded term $\"-2\"$ by using associative property on $\"%28x-3%29\"$
It becomes $\"12%2Ax-highlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A3+%29-7=0\"$ .
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Look at $\"12%2Ax-2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+3+%29-7=0\"$ .
Multiplied numerator integers
It becomes $\"12%2Ax-2%2Ax%2Bhighlight_green%28+6+%29-7=0\"$ .
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Look at $\"12%2Ax-2%2Ax%2Bhighlight_red%28+6+%29-highlight_red%28+7+%29=0\"$ .
Added fractions or integers together
It becomes $\"12%2Ax-2%2Ax%2Bhighlight_green%28+-1+%29=0\"$ .
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Look at $\"12%2Ax-2%2Ax%2Bhighlight_red%28+-1+%29=0\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"12%2Ax-2%2Ax-highlight_green%28+1+%29=0\"$ .
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Look at $\"highlight_red%28+12%2Ax+%29-highlight_red%28+2%2Ax+%29-1=0\"$ .
Eliminated similar terms $\"highlight_red%28+12%2Ax+%29\"$ , $\"highlight_red%28+-2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%2812-2%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%2812-2%29%2Ax+%29-1=0\"$ .
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Look at $\"%28highlight_red%28+12+%29-highlight_red%28+2+%29%29%2Ax-1=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+10+%29%29%2Ax-1=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29-1=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+10+%29\"$
It becomes $\"highlight_green%28+10+%29%2Ax-1=0\"$ .
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Look at $\"highlight_red%28+10%2Ax-1+%29=0\"$ .
Solved linear equation $\"highlight_red%28+10%2Ax-1=0+%29\"$ equivalent to 10*x-1 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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