SOLUTION: solve for x. show all work. x-2/4+x/3=3

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Question 939033: solve for x. show all work.
x-2/4+x/3=3
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2.625.
  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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.
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.
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.
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.
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.
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
This is an equation! Solutions: x=2.625.

Universal Simplifier and Solver


Done!