document.write( "Question 18923: -10x+3=-3x+12-4x \n" ); document.write( "

Algebra.Com's Answer #9122 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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This is an equation! Solutions: x=-3.
Graphical form: Equation $\"-10x%2B3=-3x%2B12-4x\"$ was fully solved.
Text form: -10x+3=-3x+12-4x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+-10x%2B3=-3x%2B12-4x+%29\"$
For tutors: simplify_cartoon( -10x+3=-3x+12-4x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"-10%2Ax%2B3=-3%2Ax%2Bhighlight_red%28+12+%29-4%2Ax\"$ .
Moved $\"12\"$ to the right of expression
It becomes $\"-10%2Ax%2B3=-3%2Ax-4%2Ax%2Bhighlight_green%28+12+%29\"$ .
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Look at $\"-10%2Ax%2B3=-highlight_red%28+3%2Ax+%29-highlight_red%28+4%2Ax+%29%2B12\"$ .
Eliminated similar terms $\"highlight_red%28+-3%2Ax+%29\"$ , $\"highlight_red%28+-4%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-3-4%29%2Ax+%29\"$
It becomes $\"-10%2Ax%2B3=highlight_green%28+%28-3-4%29%2Ax+%29%2B12\"$ .
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Look at $\"-10%2Ax%2B3=%28-highlight_red%28+3+%29-highlight_red%28+4+%29%29%2Ax%2B12\"$ .
Added fractions or integers together
It becomes $\"-10%2Ax%2B3=%28highlight_green%28+-7+%29%29%2Ax%2B12\"$ .
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Look at $\"-10%2Ax%2B3=%28highlight_red%28+-7+%29%29%2Ax%2B12\"$ .
Removed extra sign in front of $\"-7\"$
It becomes $\"-10%2Ax%2B3=%28-highlight_green%28+7+%29%29%2Ax%2B12\"$ .
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Look at $\"-10%2Ax%2B3=highlight_red%28+%28-highlight_red%28+7+%29%29%2Ax+%29%2B12\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+7+%29\"$
It becomes $\"-10%2Ax%2B3=-highlight_green%28+7+%29%2Ax%2B12\"$ .
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Look at $\"-10%2Ax%2B3=highlight_red%28+-7%2Ax%2B12+%29\"$ .
Moved these terms to the left $\"highlight_green%28+7%2Ax+%29\"$ , $\"highlight_green%28+-12+%29\"$
It becomes $\"-10%2Ax%2B3%2Bhighlight_green%28+7%2Ax+%29-highlight_green%28+12+%29=0\"$ .
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Look at $\"-10%2Ax%2Bhighlight_red%28+3+%29%2B7%2Ax-highlight_red%28+12+%29=0\"$ .
Added fractions or integers together
It becomes $\"-10%2Ax%2Bhighlight_green%28+-9+%29%2B7%2Ax=0\"$ .
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Look at $\"-10%2Ax%2Bhighlight_red%28+-9+%29%2B7%2Ax=0\"$ .
Moved $\"-9\"$ to the right of expression
It becomes $\"-10%2Ax%2B7%2Ax%2Bhighlight_green%28+-9+%29=0\"$ .
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Look at $\"-10%2Ax%2B7%2Ax%2Bhighlight_red%28+-9+%29=0\"$ .
Removed extra sign in front of $\"-9\"$
It becomes $\"-10%2Ax%2B7%2Ax-highlight_green%28+9+%29=0\"$ .
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Look at $\"-highlight_red%28+10%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29-9=0\"$ .
Eliminated similar terms $\"highlight_red%28+-10%2Ax+%29\"$ , $\"highlight_red%28+7%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-10%2B7%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-10%2B7%29%2Ax+%29-9=0\"$ .
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Look at $\"%28-highlight_red%28+10+%29%2Bhighlight_red%28+7+%29%29%2Ax-9=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-3+%29%29%2Ax-9=0\"$ .
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Look at $\"%28highlight_red%28+-3+%29%29%2Ax-9=0\"$ .
Removed extra sign in front of $\"-3\"$
It becomes $\"%28-highlight_green%28+3+%29%29%2Ax-9=0\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+3+%29%29%2Ax+%29-9=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"-highlight_green%28+3+%29%2Ax-9=0\"$ .
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Look at $\"highlight_red%28+-3%2Ax-9+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-3%2Ax-9=0+%29\"$ equivalent to -3*x-9 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-3.

Universal Simplifier and Solver

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Done!

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