document.write( "Question 5915: a)1/2 + 4m = 3m - 5/2 Clear the Fractions first\r
\n" ); document.write( "\n" ); document.write( "b)5/3 + 2/3x = 25/12 + 5/4x + 3/4\r
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Algebra.Com's Answer #3135 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
submit one problem at a time, okay?\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: m=-3.
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  • Graphical form: Equation \"1%2F2%2B4m=3m-5%2F2\" was fully solved.
  • Text form: 1/2+4m=3m-5/2 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+1%2F2%2B4m=3m-5%2F2+%29\"
    For tutors: simplify_cartoon( 1/2+4m=3m-5/2 )
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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 \"highlight_red%28+1%2F2+%29%2B4%2Am=3m-5%2F2\".
Moved \"1%2F2\" to the right of expression
It becomes \"4%2Am%2Bhighlight_green%28+1%2F2+%29=3m-5%2F2\".
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Look at \"4%2Am%2B1%2F2=highlight_red%28+3%2Am-5%2F2+%29\".
Moved these terms to the left \"highlight_green%28+-3%2Am+%29\",\"highlight_green%28+5%2F2+%29\"
It becomes \"4%2Am%2B1%2F2-highlight_green%28+3%2Am+%29%2Bhighlight_green%28+5%2F2+%29=0\".
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Look at \"4%2Am%2Bhighlight_red%28+1%2F2+%29-3%2Am%2Bhighlight_red%28+5%2F2+%29=0\".
Added fractions or integers together
It becomes \"4%2Am%2Bhighlight_green%28+6%2F2+%29-3%2Am=0\".
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Look at \"4%2Am%2Bhighlight_red%28+6%2F2+%29-3%2Am=0\".
Moved \"6%2F2\" to the right of expression
It becomes \"4%2Am-3%2Am%2Bhighlight_green%28+6%2F2+%29=0\".
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Look at \"4%2Am-3%2Am%2Bhighlight_red%28+6+%29%2Fhighlight_red%28+2+%29=0\".
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"4%2Am-3%2Am%2Bhighlight_green%28+3+%29%2Fhighlight_green%28+1+%29=0\".
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Look at \"4%2Am-3%2Am%2B3%2Fhighlight_red%28+1+%29=0\".
Remove extraneous '1' from product \"highlight_red%28+1%2F1+%29\"
It becomes \"4%2Am-3%2Am%2B3=0\".
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Look at \"highlight_red%28+4%2Am+%29-highlight_red%28+3%2Am+%29%2B3=0\".
Eliminated similar terms \"highlight_red%28+4%2Am+%29\",\"highlight_red%28+-3%2Am+%29\" replacing them with \"highlight_green%28+%284-3%29%2Am+%29\"
It becomes \"highlight_green%28+%284-3%29%2Am+%29%2B3=0\".
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Look at \"highlight_red%28+%284-3%29+%29%2Am%2B3=0\".
Remove extraneous '1' from product \"highlight_red%28+%284-3%29+%29\"
It becomes \"m%2B3=0\".
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Look at \"highlight_red%28+m%2B3+%29=0\".
Solved linear equation \"highlight_red%28+m%2B3=0+%29\" equivalent to m+3 =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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