document.write( "Question 213849: What is the answer to this equation: 5x=+10-6x+3=6-2x-2 and can you tell me how you solved it please and thank you \n" ); document.write( "

Algebra.Com's Answer #161536 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
What is the answer to this equation: 5x+10-6x+3=6-2x-2 and can you tell me how you solved it please and thank you\r
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\n" ); document.write( "\n" ); document.write( "The following steps will solve the following equation: $\"5x%2B10-6x%2B3=6-2x-2\"$ \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=-9.
Graphical form: Equation $\"5x%2B10-6x%2B3=6-2x-2\"$ was fully solved.
Text form: 5x+10-6x+3=6-2x-2 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5x%2B10-6x%2B3=6-2x-2+%29\"$
For tutors: simplify_cartoon( 5x+10-6x+3=6-2x-2 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"5%2Ax%2Bhighlight_red%28+10+%29-6%2Ax%2Bhighlight_red%28+3+%29=6-2x-2\"$ .
Added fractions or integers together
It becomes $\"5%2Ax%2Bhighlight_green%28+13+%29-6%2Ax=6-2x-2\"$ .
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Look at $\"5%2Ax%2Bhighlight_red%28+13+%29-6%2Ax=6-2x-2\"$ .
Moved $\"13\"$ to the right of expression
It becomes $\"5%2Ax-6%2Ax%2Bhighlight_green%28+13+%29=6-2x-2\"$ .
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Look at $\"highlight_red%28+5%2Ax+%29-highlight_red%28+6%2Ax+%29%2B13=6-2x-2\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+-6%2Ax+%29\"$ replacing them with $\"highlight_green%28+%285-6%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%285-6%29%2Ax+%29%2B13=6-2x-2\"$ .
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Look at $\"%28highlight_red%28+5+%29-highlight_red%28+6+%29%29%2Ax%2B13=6-2x-2\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-1+%29%29%2Ax%2B13=6-2x-2\"$ .
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Look at $\"%28highlight_red%28+-1+%29%29%2Ax%2B13=6-2x-2\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%28-highlight_green%28+1+%29%29%2Ax%2B13=6-2x-2\"$ .
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Look at $\"highlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29%2B13=6-2x-2\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"-highlight_green%28+1+%29%2Ax%2B13=6-2x-2\"$ .
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Look at $\"-highlight_red%28+1+%29%2Ax%2B13=6-2x-2\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"-x%2B13=6-2x-2\"$ .
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Look at $\"-x%2B13=highlight_red%28+6+%29-2%2Ax-highlight_red%28+2+%29\"$ .
Added fractions or integers together
It becomes $\"-x%2B13=highlight_green%28+4+%29-2%2Ax\"$ .
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Look at $\"-x%2B13=highlight_red%28+4+%29-2%2Ax\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"-x%2B13=-2%2Ax%2Bhighlight_green%28+4+%29\"$ .
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Look at $\"-x%2B13=highlight_red%28+-2%2Ax%2B4+%29\"$ .
Moved these terms to the left $\"highlight_green%28+2%2Ax+%29\"$ , $\"highlight_green%28+-4+%29\"$
It becomes $\"-x%2B13%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+4+%29=0\"$ .
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Look at $\"-x%2Bhighlight_red%28+13+%29%2B2%2Ax-highlight_red%28+4+%29=0\"$ .
Added fractions or integers together
It becomes $\"-x%2Bhighlight_green%28+9+%29%2B2%2Ax=0\"$ .
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Look at $\"-x%2Bhighlight_red%28+9+%29%2B2%2Ax=0\"$ .
Moved $\"9\"$ to the right of expression
It becomes $\"-x%2B2%2Ax%2Bhighlight_green%28+9+%29=0\"$ .
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Look at $\"-highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B9=0\"$ .
Eliminated similar terms $\"highlight_red%28+-x+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-1%2B2%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-1%2B2%29%2Ax+%29%2B9=0\"$ .
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Look at $\"highlight_red%28+%28-1%2B2%29+%29%2Ax%2B9=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+%28-1%2B2%29+%29\"$
It becomes $\"x%2B9=0\"$ .
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Look at $\"highlight_red%28+x%2B9+%29=0\"$ .
Solved linear equation $\"highlight_red%28+x%2B9=0+%29\"$ equivalent to x+9 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-9.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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