document.write( "Question 21044: Help!
\n" ); document.write( "Equation:
\n" ); document.write( "-3(4x+1)+6x=4(2x-6)\r
\n" ); document.write( "\n" ); document.write( "I came up with x=-2.1
\n" ); document.write( "Is that right? \n" ); document.write( "

Algebra.Com's Answer #10090 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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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=1.5.
Graphical form: Equation $\"-3%2A%284x%2B1%29%2B6x=4%2A%282x-6%29\"$ was fully solved.
Text form: -3*(4x+1)+6x=4*(2x-6) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-3%2A%284x%2B1%29%2B6x=4%2A%282x-6%29+%29\"$
For tutors: simplify_cartoon( -3*(4x+1)+6x=4*(2x-6) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-3%2A%284%2Ax%2B1%29%2B6%2Ax=highlight_red%28+4%2A%282%2Ax-6%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2A%282%2Ax-6%29+%29\"$
It becomes $\"-3%2A%284%2Ax%2B1%29%2B6%2Ax-highlight_green%28+4%2A%282%2Ax-6%29+%29=0\"$ .
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Look at $\"-highlight_red%28+3%2A%284%2Ax%2B1%29+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
Expanded term $\"-3\"$ by using associative property on $\"%284%2Ax%2B1%29\"$
It becomes $\"-highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A1+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
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Look at $\"-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A1%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
Multiplied numerator integers
It becomes $\"-highlight_green%28+12+%29%2Ax-3%2A1%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
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Look at $\"-12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
Multiplied numerator integers
It becomes $\"-12%2Ax-highlight_green%28+3+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
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Look at $\"-12%2Ax-highlight_red%28+3+%29%2B6%2Ax-4%2A%282%2Ax-6%29=0\"$ .
Moved $\"-3\"$ to the right of expression
It becomes $\"-12%2Ax%2B6%2Ax-4%2A%282%2Ax-6%29-highlight_green%28+3+%29=0\"$ .
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Look at $\"-highlight_red%28+12%2Ax+%29%2Bhighlight_red%28+6%2Ax+%29-4%2A%282%2Ax-6%29-3=0\"$ .
Eliminated similar terms $\"highlight_red%28+-12%2Ax+%29\"$ , $\"highlight_red%28+6%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-12%2B6%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-12%2B6%29%2Ax+%29-4%2A%282%2Ax-6%29-3=0\"$ .
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Look at $\"%28-highlight_red%28+12+%29%2Bhighlight_red%28+6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0\"$ .
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Look at $\"%28highlight_red%28+-6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0\"$ .
Removed extra sign in front of $\"-6\"$
It becomes $\"%28-highlight_green%28+6+%29%29%2Ax-4%2A%282%2Ax-6%29-3=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+6+%29%29%2Ax+%29-4%2A%282%2Ax-6%29-3=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+6+%29\"$
It becomes $\"-highlight_green%28+6+%29%2Ax-4%2A%282%2Ax-6%29-3=0\"$ .
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Look at $\"-6%2Ax-highlight_red%28+4%2A%282%2Ax-6%29+%29-3=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%282%2Ax-6%29\"$
It becomes $\"-6%2Ax-highlight_green%28+4%2A2%2Ax+%29%2Bhighlight_green%28+4%2A6+%29-3=0\"$ .
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Look at $\"-6%2Ax-highlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2Ax%2B4%2A6-3=0\"$ .
Multiplied numerator integers
It becomes $\"-6%2Ax-highlight_green%28+8+%29%2Ax%2B4%2A6-3=0\"$ .
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Look at $\"-6%2Ax-8%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+6+%29-3=0\"$ .
Multiplied numerator integers
It becomes $\"-6%2Ax-8%2Ax%2Bhighlight_green%28+24+%29-3=0\"$ .
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Look at $\"-6%2Ax-8%2Ax%2Bhighlight_red%28+24+%29-highlight_red%28+3+%29=0\"$ .
Added fractions or integers together
It becomes $\"-6%2Ax-8%2Ax%2Bhighlight_green%28+21+%29=0\"$ .
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Look at $\"-highlight_red%28+6%2Ax+%29-highlight_red%28+8%2Ax+%29%2B21=0\"$ .
Eliminated similar terms $\"highlight_red%28+-6%2Ax+%29\"$ , $\"highlight_red%28+-8%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-6-8%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-6-8%29%2Ax+%29%2B21=0\"$ .
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Look at $\"%28-highlight_red%28+6+%29-highlight_red%28+8+%29%29%2Ax%2B21=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-14+%29%29%2Ax%2B21=0\"$ .
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Look at $\"%28highlight_red%28+-14+%29%29%2Ax%2B21=0\"$ .
Removed extra sign in front of $\"-14\"$
It becomes $\"%28-highlight_green%28+14+%29%29%2Ax%2B21=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+14+%29%29%2Ax+%29%2B21=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+14+%29\"$
It becomes $\"-highlight_green%28+14+%29%2Ax%2B21=0\"$ .
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Look at $\"highlight_red%28+-14%2Ax%2B21+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-14%2Ax%2B21=0+%29\"$ equivalent to -14*x+21 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=1.5.

Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "I'm afraid your answer of $\"x=-2.1\"$ is incorrect
\n" ); document.write( "If you need more help, I can tutor you one on one. Just email me!
\n" ); document.write( "Hope this helps! \n" ); document.write( "

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