SOLUTION: x+5/2+x-1/2=x-1/3

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Question 213501: x+5/2+x-1/2=x-1/3
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B5%2F2%2Bx-1%2F2=x-1%2F3

The following steps solves the above equation:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-2.33333333333333.
  • Graphical form: Equation x%2B5%2F2%2Bx-1%2F2=x-1%2F3 was fully solved.
  • Text form: x+5/2+x-1/2=x-1/3 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B5%2F2%2Bx-1%2F2=x-1%2F3+%29
    For tutors: simplify_cartoon( x+5/2+x-1/2=x-1/3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2Bhighlight_red%28+5%2F2+%29%2Bx-highlight_red%28+1%2F2+%29=x-1%2F3.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+4%2F2+%29%2Bx=x-1%2F3.
Look at x%2Bhighlight_red%28+4%2F2+%29%2Bx=x-1%2F3.
Moved 4%2F2 to the right of expression
It becomes x%2Bx%2Bhighlight_green%28+4%2F2+%29=x-1%2F3.
Look at x%2Bx%2Bhighlight_red%28+4+%29%2Fhighlight_red%28+2+%29=x-1%2F3.
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes x%2Bx%2Bhighlight_green%28+2+%29%2Fhighlight_green%28+1+%29=x-1%2F3.
Look at x%2Bx%2B2%2Fhighlight_red%28+1+%29=x-1%2F3.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes x%2Bx%2B2=x-1%2F3.
Look at highlight_red%28+x+%29%2Bhighlight_red%28+x+%29%2B2=x-1%2F3.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+x+%29 replacing them with highlight_green%28+%281%2B1%29%2Ax+%29
It becomes highlight_green%28+%281%2B1%29%2Ax+%29%2B2=x-1%2F3.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%2B2=x-1%2F3.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax%2B2=x-1%2F3.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29%2B2=x-1%2F3.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax%2B2=x-1%2F3.
Look at 2%2Ax%2B2=highlight_red%28+x-1%2F3+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+1%2F3+%29
It becomes 2%2Ax%2B2-highlight_green%28+x+%29%2Bhighlight_green%28+1%2F3+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+2+%29-x%2Bhighlight_red%28+1%2F3+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+7%2F3+%29-x=0.
Look at 2%2Ax%2Bhighlight_red%28+7%2F3+%29-x=0.
Moved 7%2F3 to the right of expression
It becomes 2%2Ax-x%2Bhighlight_green%28+7%2F3+%29=0.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+x+%29%2B7%2F3=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%282-1%29%2Ax+%29
It becomes highlight_green%28+%282-1%29%2Ax+%29%2B7%2F3=0.
Look at highlight_red%28+%282-1%29+%29%2Ax%2B7%2F3=0.
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes x%2B7%2F3=0.
Look at highlight_red%28+x%2B7%2F3+%29=0.
Solved linear equation highlight_red%28+x%2B7%2F3=0+%29 equivalent to x+2.33333333333333 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-2.33333333333333.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J