document.write( "Question 24760: 3(x-6)+4=5(x+2)-8 \n" ); document.write( "

Algebra.Com's Answer #13213 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=-8.
Graphical form: Equation $\"3%2A%28x-6%29%2B4=5%2A%28x%2B2%29-8\"$ was fully solved.
Text form: 3*(x-6)+4=5*(x+2)-8 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3%2A%28x-6%29%2B4=5%2A%28x%2B2%29-8+%29\"$
For tutors: simplify_cartoon( 3*(x-6)+4=5*(x+2)-8 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"3%2A%28x-6%29%2B4=highlight_red%28+5%2A%28x%2B2%29-8+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-5%2A%28x%2B2%29+%29\"$ , $\"highlight_green%28+8+%29\"$
It becomes $\"3%2A%28x-6%29%2B4-highlight_green%28+5%2A%28x%2B2%29+%29%2Bhighlight_green%28+8+%29=0\"$ .
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Look at $\"3%2A%28x-6%29%2Bhighlight_red%28+4+%29-5%2A%28x%2B2%29%2Bhighlight_red%28+8+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2A%28x-6%29%2Bhighlight_green%28+12+%29-5%2A%28x%2B2%29=0\"$ .
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Look at $\"3%2A%28x-6%29%2Bhighlight_red%28+12+%29-5%2A%28x%2B2%29=0\"$ .
Moved $\"12\"$ to the right of expression
It becomes $\"3%2A%28x-6%29-5%2A%28x%2B2%29%2Bhighlight_green%28+12+%29=0\"$ .
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Look at $\"highlight_red%28+3%2A%28x-6%29+%29-5%2A%28x%2B2%29%2B12=0\"$ .
Expanded term $\"3\"$ by using associative property on $\"%28x-6%29\"$
It becomes $\"highlight_green%28+3%2Ax+%29-highlight_green%28+3%2A6+%29-5%2A%28x%2B2%29%2B12=0\"$ .
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Look at $\"3%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+6+%29-5%2A%28x%2B2%29%2B12=0\"$ .
Multiplied numerator integers
It becomes $\"3%2Ax-highlight_green%28+18+%29-5%2A%28x%2B2%29%2B12=0\"$ .
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Look at $\"3%2Ax-highlight_red%28+18+%29-5%2A%28x%2B2%29%2Bhighlight_red%28+12+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2Ax%2Bhighlight_green%28+-6+%29-5%2A%28x%2B2%29=0\"$ .
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Look at $\"3%2Ax%2Bhighlight_red%28+-6+%29-5%2A%28x%2B2%29=0\"$ .
Moved $\"-6\"$ to the right of expression
It becomes $\"3%2Ax-5%2A%28x%2B2%29%2Bhighlight_green%28+-6+%29=0\"$ .
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Look at $\"3%2Ax-5%2A%28x%2B2%29%2Bhighlight_red%28+-6+%29=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"3%2Ax-5%2A%28x%2B2%29-highlight_green%28+6+%29=0\"$ .
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Look at $\"3%2Ax-highlight_red%28+5%2A%28x%2B2%29+%29-6=0\"$ .
Expanded term $\"-5\"$ by using associative property on $\"%28x%2B2%29\"$
It becomes $\"3%2Ax-highlight_green%28+5%2Ax+%29-highlight_green%28+5%2A2+%29-6=0\"$ .
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Look at $\"3%2Ax-5%2Ax-highlight_red%28+5+%29%2Ahighlight_red%28+2+%29-6=0\"$ .
Multiplied numerator integers
It becomes $\"3%2Ax-5%2Ax-highlight_green%28+10+%29-6=0\"$ .
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Look at $\"3%2Ax-5%2Ax-highlight_red%28+10+%29-highlight_red%28+6+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2Ax-5%2Ax%2Bhighlight_green%28+-16+%29=0\"$ .
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Look at $\"3%2Ax-5%2Ax%2Bhighlight_red%28+-16+%29=0\"$ .
Removed extra sign in front of $\"-16\"$
It becomes $\"3%2Ax-5%2Ax-highlight_green%28+16+%29=0\"$ .
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Look at $\"highlight_red%28+3%2Ax+%29-highlight_red%28+5%2Ax+%29-16=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Ax+%29\"$ , $\"highlight_red%28+-5%2Ax+%29\"$ replacing them with $\"highlight_green%28+%283-5%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%283-5%29%2Ax+%29-16=0\"$ .
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Look at $\"%28highlight_red%28+3+%29-highlight_red%28+5+%29%29%2Ax-16=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-2+%29%29%2Ax-16=0\"$ .
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Look at $\"%28highlight_red%28+-2+%29%29%2Ax-16=0\"$ .
Removed extra sign in front of $\"-2\"$
It becomes $\"%28-highlight_green%28+2+%29%29%2Ax-16=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29-16=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"-highlight_green%28+2+%29%2Ax-16=0\"$ .
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Look at $\"highlight_red%28+-2%2Ax-16+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-2%2Ax-16=0+%29\"$ equivalent to -2*x-16 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-8.

Universal Simplifier and Solver

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Done!

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