document.write( "Question 213093: 5x-10=5(x-2) \n" ); document.write( "

Algebra.Com's Answer #160987 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5x-10=5%28x-2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The following steps simplify the above equation:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: Equation $\"5x-10=5%2A%28x-2%29\"$ was fully solved.
Text form: 5x-10=5*(x-2) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5x-10=5%2A%28x-2%29+%29\"$
For tutors: simplify_cartoon( 5x-10=5*(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 $\"5%2Ax-10=highlight_red%28+5%2A%28x-2%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-5%2A%28x-2%29+%29\"$
It becomes $\"5%2Ax-10-highlight_green%28+5%2A%28x-2%29+%29=0\"$ .
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Look at $\"5%2Ax-highlight_red%28+10+%29-5%2A%28x-2%29=0\"$ .
Moved $\"-10\"$ to the right of expression
It becomes $\"5%2Ax-5%2A%28x-2%29-highlight_green%28+10+%29=0\"$ .
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Look at $\"5%2Ax-highlight_red%28+5%2A%28x-2%29+%29-10=0\"$ .
Expanded term $\"-5\"$ by using associative property on $\"%28x-2%29\"$
It becomes $\"5%2Ax-highlight_green%28+5%2Ax+%29%2Bhighlight_green%28+5%2A2+%29-10=0\"$ .
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Look at $\"5%2Ax-5%2Ax%2Bhighlight_red%28+5+%29%2Ahighlight_red%28+2+%29-10=0\"$ .
Multiplied numerator integers
It becomes $\"5%2Ax-5%2Ax%2Bhighlight_green%28+10+%29-10=0\"$ .
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Look at $\"5%2Ax-5%2Ax%2Bhighlight_red%28+10+%29-highlight_red%28+10+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2Ax-5%2Ax%2Bhighlight_green%28+0+%29=0\"$ .
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Look at $\"5%2Ax-5%2Ax%2Bhighlight_red%28+0+%29=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"5%2Ax-5%2Ax=0\"$ .
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Look at $\"highlight_red%28+5%2Ax+%29-highlight_red%28+5%2Ax+%29=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+-5%2Ax+%29\"$ replacing them with $\"highlight_green%28+%285-5%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%285-5%29%2Ax+%29=0\"$ .
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Look at $\"highlight_red%28+%285-5%29%2Ax+%29=0\"$ .
Since $\"highlight_red%28+%285-5%29%2Ax+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"0=0\"$ .
Added fractions or integers together
It becomes $\"0=0\"$ .
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
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