SOLUTION: x + (x 3/2) = 90. Solve for x and show work.

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Question 941356: x + (x 3/2) = 90. Solve for x and show work.
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
x+x(3/2) =90
x%2B%283x%2F2%29+=90
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=36.
  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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.
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
This is an equation! Solutions: x=36.

Universal Simplifier and Solver


Done!