document.write( "Question 213501: x+5/2+x-1/2=x-1/3 \n" ); document.write( "

Algebra.Com's Answer #161299 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2B5%2F2%2Bx-1%2F2=x-1%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( "The following steps solves the above equation:\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=-2.33333333333333.
Graphical form: Equation $\"x%2B5%2F2%2Bx-1%2F2=x-1%2F3\"$ was fully solved.
Text form: x+5/2+x-1/2=x-1/3 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2B5%2F2%2Bx-1%2F2=x-1%2F3+%29\"$
For tutors: simplify_cartoon( x+5/2+x-1/2=x-1/3 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"x%2Bhighlight_red%28+5%2F2+%29%2Bx-highlight_red%28+1%2F2+%29=x-1%2F3\"$ .
Added fractions or integers together
It becomes $\"x%2Bhighlight_green%28+4%2F2+%29%2Bx=x-1%2F3\"$ .
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Look at $\"x%2Bhighlight_red%28+4%2F2+%29%2Bx=x-1%2F3\"$ .
Moved $\"4%2F2\"$ to the right of expression
It becomes $\"x%2Bx%2Bhighlight_green%28+4%2F2+%29=x-1%2F3\"$ .
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Look at $\"x%2Bx%2Bhighlight_red%28+4+%29%2Fhighlight_red%28+2+%29=x-1%2F3\"$ .
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes $\"x%2Bx%2Bhighlight_green%28+2+%29%2Fhighlight_green%28+1+%29=x-1%2F3\"$ .
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Look at $\"x%2Bx%2B2%2Fhighlight_red%28+1+%29=x-1%2F3\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"x%2Bx%2B2=x-1%2F3\"$ .
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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2B2=x-1%2F3\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+x+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B1%29%2Ax+%29%2B2=x-1%2F3\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B2=x-1%2F3\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Ax%2B2=x-1%2F3\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B2=x-1%2F3\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Ax%2B2=x-1%2F3\"$ .
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Look at $\"2%2Ax%2B2=highlight_red%28+x-1%2F3+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+1%2F3+%29\"$
It becomes $\"2%2Ax%2B2-highlight_green%28+x+%29%2Bhighlight_green%28+1%2F3+%29=0\"$ .
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Look at $\"2%2Ax%2Bhighlight_red%28+2+%29-x%2Bhighlight_red%28+1%2F3+%29=0\"$ .
Added fractions or integers together
It becomes $\"2%2Ax%2Bhighlight_green%28+7%2F3+%29-x=0\"$ .
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Look at $\"2%2Ax%2Bhighlight_red%28+7%2F3+%29-x=0\"$ .
Moved $\"7%2F3\"$ to the right of expression
It becomes $\"2%2Ax-x%2Bhighlight_green%28+7%2F3+%29=0\"$ .
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Look at $\"highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29%2B7%2F3=0\"$ .
Eliminated similar terms $\"highlight_red%28+2%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%282-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%282-1%29%2Ax+%29%2B7%2F3=0\"$ .
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Look at $\"highlight_red%28+%282-1%29+%29%2Ax%2B7%2F3=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+%282-1%29+%29\"$
It becomes $\"x%2B7%2F3=0\"$ .
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Look at $\"highlight_red%28+x%2B7%2F3+%29=0\"$ .
Solved linear equation $\"highlight_red%28+x%2B7%2F3=0+%29\"$ equivalent to x+2.33333333333333 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-2.33333333333333.

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 in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "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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