document.write( "Question 939033: solve for x. show all work.\r
\n" ); document.write( "\n" ); document.write( "x-2/4+x/3=3 \n" ); document.write( "
Algebra.Com's Answer #572114 by srinivas.g(540)\"\" \"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=2.625.
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  • Graphical form: Equation \"x-%282%2F4%29%2B%28x%2F3%29=3\" was fully solved.
  • Text form: x-(2/4)+(x/3)=3 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x-%282%2F4%29%2B%28x%2F3%29=3+%29\"
    For tutors: simplify_cartoon( x-(2/4)+(x/3)=3 )
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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 \"x-highlight_red%28+%282%2F4%29+%29%2B%28x%2F3%29=3\".
Remove unneeded parentheses around terms \"highlight_red%28+-2%2F4+%29\"
It becomes \"x-highlight_green%28+2%2F4+%29%2B%28x%2F3%29=3\".
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Look at \"x-2%2F4%2Bhighlight_red%28+%28x%2F3%29+%29=3\".
Remove unneeded parentheses around terms \"highlight_red%28+x%2F3+%29\"
It becomes \"x-2%2F4%2Bhighlight_green%28+x%2F3+%29=3\".
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Look at \"x-highlight_red%28+2+%29%2Fhighlight_red%28+4+%29%2Bx%2F3=3\".
Factors 2 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"x-highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Bx%2F3=3\".
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Look at \"x-highlight_red%28+1%2F2+%29%2Bx%2F3=3\".
Moved \"-1%2F2\" to the right of expression
It becomes \"x%2Bx%2F3-highlight_green%28+1%2F2+%29=3\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+x%2F3+%29-1%2F2=3\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x%2F3+%29\" replacing them with \"highlight_green%28+%281%2B1%2F3%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1%2F3%29%2Ax+%29-1%2F2=3\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1%2F3+%29%29%2Ax-1%2F2=3\".
Added fractions or integers together
It becomes \"%28highlight_green%28+4%2F3+%29%29%2Ax-1%2F2=3\".
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Look at \"highlight_red%28+%28highlight_red%28+4%2F3+%29%29%2Ax+%29-1%2F2=3\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\",\"highlight_red%28+1%2F3+%29\"
It becomes \"highlight_green%28+4+%29%2Fhighlight_green%28+3+%29%2Ax-1%2F2=3\".
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Look at \"4%2F3%2Ax-1%2F2=highlight_red%28+3+%29\".
Moved these terms to the left \"highlight_green%28+-3+%29\"
It becomes \"4%2F3%2Ax-1%2F2-highlight_green%28+3+%29=0\".
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Look at \"4%2F3%2Ax-highlight_red%28+1%2F2+%29-highlight_red%28+3+%29=0\".
Added fractions or integers together
It becomes \"4%2F3%2Ax-highlight_green%28+7%2F2+%29=0\".
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Look at \"highlight_red%28+4%2F3%2Ax-7%2F2+%29=0\".
Solved linear equation \"highlight_red%28+4%2F3%2Ax-7%2F2=0+%29\" equivalent to 1.33333333333333*x-3.5 =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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