document.write( "Question 308657: -3(-4x+1)+ 4 =2x-9 \n" ); document.write( "
Algebra.Com's Answer #220702 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
For simple stuff like this, always use the universal simplifier and solver.
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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=-1.
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  • Graphical form: Equation \"-3%2A%28-4x%2B1%29%2B4=2x-9\" was fully solved.
  • Text form: -3*(-4x+1)+4=2x-9 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+-3%2A%28-4x%2B1%29%2B4=2x-9+%29\"
    For tutors: simplify_cartoon( -3*(-4x+1)+4=2x-9 )
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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 \"-3%2A%28-4%2Ax%2B1%29%2B4=highlight_red%28+2%2Ax-9+%29\".
Moved these terms to the left \"highlight_green%28+-2%2Ax+%29\",\"highlight_green%28+9+%29\"
It becomes \"-3%2A%28-4%2Ax%2B1%29%2B4-highlight_green%28+2%2Ax+%29%2Bhighlight_green%28+9+%29=0\".
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Look at \"-3%2A%28-4%2Ax%2B1%29%2Bhighlight_red%28+4+%29-2%2Ax%2Bhighlight_red%28+9+%29=0\".
Added fractions or integers together
It becomes \"-3%2A%28-4%2Ax%2B1%29%2Bhighlight_green%28+13+%29-2%2Ax=0\".
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Look at \"-3%2A%28-4%2Ax%2B1%29%2Bhighlight_red%28+13+%29-2%2Ax=0\".
Moved \"13\" to the right of expression
It becomes \"-3%2A%28-4%2Ax%2B1%29-2%2Ax%2Bhighlight_green%28+13+%29=0\".
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Look at \"-highlight_red%28+3%2A%28-4%2Ax%2B1%29+%29-2%2Ax%2B13=0\".
Expanded term \"-3\" by using associative property on \"%28-4%2Ax%2B1%29\"
It becomes \"highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A1+%29-2%2Ax%2B13=0\".
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Look at \"highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A1-2%2Ax%2B13=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+12+%29%2Ax-3%2A1-2%2Ax%2B13=0\".
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Look at \"12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+1+%29-2%2Ax%2B13=0\".
Multiplied numerator integers
It becomes \"12%2Ax-highlight_green%28+3+%29-2%2Ax%2B13=0\".
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Look at \"12%2Ax-highlight_red%28+3+%29-2%2Ax%2Bhighlight_red%28+13+%29=0\".
Added fractions or integers together
It becomes \"12%2Ax%2Bhighlight_green%28+10+%29-2%2Ax=0\".
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Look at \"12%2Ax%2Bhighlight_red%28+10+%29-2%2Ax=0\".
Moved \"10\" to the right of expression
It becomes \"12%2Ax-2%2Ax%2Bhighlight_green%28+10+%29=0\".
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Look at \"highlight_red%28+12%2Ax+%29-highlight_red%28+2%2Ax+%29%2B10=0\".
Eliminated similar terms \"highlight_red%28+12%2Ax+%29\",\"highlight_red%28+-2%2Ax+%29\" replacing them with \"highlight_green%28+%2812-2%29%2Ax+%29\"
It becomes \"highlight_green%28+%2812-2%29%2Ax+%29%2B10=0\".
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Look at \"%28highlight_red%28+12+%29-highlight_red%28+2+%29%29%2Ax%2B10=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+10+%29%29%2Ax%2B10=0\".
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Look at \"highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29%2B10=0\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\"
It becomes \"highlight_green%28+10+%29%2Ax%2B10=0\".
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Look at \"highlight_red%28+10%2Ax%2B10+%29=0\".
Solved linear equation \"highlight_red%28+10%2Ax%2B10=0+%29\" equivalent to 10*x+10 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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