document.write( "Question 24244: 6(4x-1)=12(2x+3) \n" ); document.write( "

Algebra.Com's Answer #12884 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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Graphical form: $\"6%2A%284x-1%29=12%2A%282x%2B3%29\"$ simplifies to $\"-42=0\"$
Text form: 6*(4x-1)=12*(2x+3) simplifies to -42=0
Cartoon (animation) form: $\"simplify_cartoon%28+6%2A%284x-1%29=12%2A%282x%2B3%29+%29\"$
For tutors: simplify_cartoon( 6*(4x-1)=12*(2x+3) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"6%2A%284%2Ax-1%29=highlight_red%28+12%2A%282%2Ax%2B3%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-12%2A%282%2Ax%2B3%29+%29\"$
It becomes $\"6%2A%284%2Ax-1%29-highlight_green%28+12%2A%282%2Ax%2B3%29+%29=0\"$ .
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Look at $\"highlight_red%28+6%2A%284%2Ax-1%29+%29-12%2A%282%2Ax%2B3%29=0\"$ .
Expanded term $\"6\"$ by using associative property on $\"%284%2Ax-1%29\"$
It becomes $\"highlight_green%28+6%2A4%2Ax+%29-highlight_green%28+6%2A1+%29-12%2A%282%2Ax%2B3%29=0\"$ .
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Look at $\"highlight_red%28+6+%29%2Ahighlight_red%28+4+%29%2Ax-6%2A1-12%2A%282%2Ax%2B3%29=0\"$ .
Multiplied numerator integers
It becomes $\"highlight_green%28+24+%29%2Ax-6%2A1-12%2A%282%2Ax%2B3%29=0\"$ .
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Look at $\"24%2Ax-highlight_red%28+6+%29%2Ahighlight_red%28+1+%29-12%2A%282%2Ax%2B3%29=0\"$ .
Multiplied numerator integers
It becomes $\"24%2Ax-highlight_green%28+6+%29-12%2A%282%2Ax%2B3%29=0\"$ .
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Look at $\"24%2Ax-highlight_red%28+6+%29-12%2A%282%2Ax%2B3%29=0\"$ .
Moved $\"-6\"$ to the right of expression
It becomes $\"24%2Ax-12%2A%282%2Ax%2B3%29-highlight_green%28+6+%29=0\"$ .
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Look at $\"24%2Ax-highlight_red%28+12%2A%282%2Ax%2B3%29+%29-6=0\"$ .
Expanded term $\"-12\"$ by using associative property on $\"%282%2Ax%2B3%29\"$
It becomes $\"24%2Ax-highlight_green%28+12%2A2%2Ax+%29-highlight_green%28+12%2A3+%29-6=0\"$ .
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Look at $\"24%2Ax-highlight_red%28+12+%29%2Ahighlight_red%28+2+%29%2Ax-12%2A3-6=0\"$ .
Multiplied numerator integers
It becomes $\"24%2Ax-highlight_green%28+24+%29%2Ax-12%2A3-6=0\"$ .
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Look at $\"24%2Ax-24%2Ax-highlight_red%28+12+%29%2Ahighlight_red%28+3+%29-6=0\"$ .
Multiplied numerator integers
It becomes $\"24%2Ax-24%2Ax-highlight_green%28+36+%29-6=0\"$ .
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Look at $\"24%2Ax-24%2Ax-highlight_red%28+36+%29-highlight_red%28+6+%29=0\"$ .
Added fractions or integers together
It becomes $\"24%2Ax-24%2Ax%2Bhighlight_green%28+-42+%29=0\"$ .
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Look at $\"24%2Ax-24%2Ax%2Bhighlight_red%28+-42+%29=0\"$ .
Removed extra sign in front of $\"-42\"$
It becomes $\"24%2Ax-24%2Ax-highlight_green%28+42+%29=0\"$ .
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Look at $\"highlight_red%28+24%2Ax+%29-highlight_red%28+24%2Ax+%29-42=0\"$ .
Eliminated similar terms $\"highlight_red%28+24%2Ax+%29\"$ , $\"highlight_red%28+-24%2Ax+%29\"$ replacing them with $\"highlight_green%28+%2824-24%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%2824-24%29%2Ax+%29-42=0\"$ .
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Look at $\"highlight_red%28+%2824-24%29%2Ax+%29-42=0\"$ .
Since $\"highlight_red%28+%2824-24%29%2Ax+%29\"$ has zero as a factor, it should be replaced with a zero
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Look at $\"0-42=0\"$ .
Added fractions or integers together
It becomes $\"0-42=0\"$ .
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Look at $\"highlight_red%28+0+%29-42=0\"$ .
Remove extraneous zero $\"highlight_red%28+0+%29\"$
It becomes $\"-42=0\"$ .
Result: $\"-42=0\"$
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Universal Simplifier and Solver

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Done!

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