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)   (Show Source): You can put this solution on YOUR website!


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 was fully solved.
  • Text form: x+5/2+x-1/2=x-1/3 simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Added fractions or integers together
It becomes .
Look at .
Moved 4%2F2 to the right of expression
It becomes .
Look at .
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
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 .
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Added fractions or integers together
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+1%2F3+%29
It becomes .
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Added fractions or integers together
It becomes .
Look at .
Moved 7%2F3 to the right of expression
It becomes .
Look at .
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 .
Look at .
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+x%2B7%2F3=0+%29 equivalent to x+2.33333333333333 =0
It becomes .
Result:
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
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