document.write( "Question 37798: -9x+15=-22-4(x+12)
\n" ); document.write( "-9x+15=-22-4x+48
\n" ); document.write( "-9x+15=4x+26
\n" ); document.write( "15=5x+26
\n" ); document.write( "-11=5x
\n" ); document.write( "-2.2=x \n" ); document.write( "
Algebra.Com's Answer #23325 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
I'm assuming the steps there is your attempt at the problem\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=17.
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  • Graphical form: Equation \"-9x%2B15=-22-4%2A%28x%2B12%29\" was fully solved.
  • Text form: -9x+15=-22-4*(x+12) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+-9x%2B15=-22-4%2A%28x%2B12%29+%29\"
    For tutors: simplify_cartoon( -9x+15=-22-4*(x+12) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"-9%2Ax%2B15=-highlight_red%28+22+%29-4%2A%28x%2B12%29\".
Moved \"-22\" to the right of expression
It becomes \"-9%2Ax%2B15=-4%2A%28x%2B12%29-highlight_green%28+22+%29\".
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Look at \"-9%2Ax%2B15=highlight_red%28+-4%2A%28x%2B12%29-22+%29\".
Moved these terms to the left \"highlight_green%28+4%2A%28x%2B12%29+%29\",\"highlight_green%28+22+%29\"
It becomes \"-9%2Ax%2B15%2Bhighlight_green%28+4%2A%28x%2B12%29+%29%2Bhighlight_green%28+22+%29=0\".
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Look at \"-9%2Ax%2Bhighlight_red%28+15+%29%2B4%2A%28x%2B12%29%2Bhighlight_red%28+22+%29=0\".
Added fractions or integers together
It becomes \"-9%2Ax%2Bhighlight_green%28+37+%29%2B4%2A%28x%2B12%29=0\".
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Look at \"-9%2Ax%2Bhighlight_red%28+37+%29%2B4%2A%28x%2B12%29=0\".
Moved \"37\" to the right of expression
It becomes \"-9%2Ax%2B4%2A%28x%2B12%29%2Bhighlight_green%28+37+%29=0\".
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Look at \"-9%2Ax%2Bhighlight_red%28+4%2A%28x%2B12%29+%29%2B37=0\".
Expanded term \"4\" by using associative property on \"%28x%2B12%29\"
It becomes \"-9%2Ax%2Bhighlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A12+%29%2B37=0\".
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Look at \"-9%2Ax%2B4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+12+%29%2B37=0\".
Multiplied numerator integers
It becomes \"-9%2Ax%2B4%2Ax%2Bhighlight_green%28+48+%29%2B37=0\".
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Look at \"-9%2Ax%2B4%2Ax%2Bhighlight_red%28+48+%29%2Bhighlight_red%28+37+%29=0\".
Added fractions or integers together
It becomes \"-9%2Ax%2B4%2Ax%2Bhighlight_green%28+85+%29=0\".
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Look at \"-highlight_red%28+9%2Ax+%29%2Bhighlight_red%28+4%2Ax+%29%2B85=0\".
Eliminated similar terms \"highlight_red%28+-9%2Ax+%29\",\"highlight_red%28+4%2Ax+%29\" replacing them with \"highlight_green%28+%28-9%2B4%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-9%2B4%29%2Ax+%29%2B85=0\".
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Look at \"%28-highlight_red%28+9+%29%2Bhighlight_red%28+4+%29%29%2Ax%2B85=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-5+%29%29%2Ax%2B85=0\".
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Look at \"%28highlight_red%28+-5+%29%29%2Ax%2B85=0\".
Removed extra sign in front of \"-5\"
It becomes \"%28-highlight_green%28+5+%29%29%2Ax%2B85=0\".
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Look at \"highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29%2B85=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"-highlight_green%28+5+%29%2Ax%2B85=0\".
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Look at \"highlight_red%28+-5%2Ax%2B85+%29=0\".
Solved linear equation \"highlight_red%28+-5%2Ax%2B85=0+%29\" equivalent to -5*x+85 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=17.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "The mistake you made was when you distributed \"-4%28x%2B12%29\" you forgot to distribute the negative sign along with the 4. \"-4x-48\" is the correct answer. \r
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