document.write( "Question 941356: x + (x 3/2) = 90. Solve for x and show work. \n" ); document.write( "
Algebra.Com's Answer #573796 by srinivas.g(540)\"\" \"About 
You can put this solution on YOUR website!
x+x(3/2) =90
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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=36.
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  • Graphical form: Equation \"x%2B%283x%2F2%29=90\" was fully solved.
  • Text form: x+(3x/2)=90 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2B%283x%2F2%29=90+%29\"
    For tutors: simplify_cartoon( x+(3x/2)=90 )
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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%2Bhighlight_red%28+%283%2Ax%2F2%29+%29=90\".
Remove unneeded parentheses around terms \"highlight_red%28+3%2Ax%2F2+%29\"
It becomes \"x%2Bhighlight_green%28+3%2Ax%2F2+%29=90\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax%2F2+%29=90\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+3%2Ax%2F2+%29\" replacing them with \"highlight_green%28+%281%2B3%2A1%2F2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B3%2A1%2F2%29%2Ax+%29=90\".
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Look at \"%281%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29%2F2%29%2Ax=90\".
Multiplied numerator integers
It becomes \"%281%2Bhighlight_green%28+3+%29%2F2%29%2Ax=90\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+3%2F2+%29%29%2Ax=90\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5%2F2+%29%29%2Ax=90\".
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Look at \"highlight_red%28+%28highlight_red%28+5%2F2+%29%29%2Ax+%29=90\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"highlight_green%28+5+%29%2Fhighlight_green%28+2+%29%2Ax=90\".
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Look at \"5%2F2%2Ax=highlight_red%28+90+%29\".
Moved these terms to the left \"highlight_green%28+-90+%29\"
It becomes \"5%2F2%2Ax-highlight_green%28+90+%29=0\".
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Look at \"highlight_red%28+5%2F2%2Ax-90+%29=0\".
Solved linear equation \"highlight_red%28+5%2F2%2Ax-90=0+%29\" equivalent to 2.5*x-90 =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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