SOLUTION: Solve for x (-2)/(x-5) = (1)/(x+2)

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Question 932441: Solve for x
(-2)/(x-5) = (1)/(x+2)


Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
(-2)/(x-5) = (1)/(x+2)
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28-2%29%2F%28x-5%29=%281%29%2F%28x%2B2%29 simplifies to -2%2F%28x-5%29-1%2F%28x%2B2%29=0
  • Text form: (-2)/(x-5)=(1)/(x+2) simplifies to -2/(x-5)-1/(x+2)=0
  • Cartoon (animation) form: simplify_cartoon%28+%28-2%29%2F%28x-5%29=%281%29%2F%28x%2B2%29+%29
    For tutors: simplify_cartoon( (-2)/(x-5)=(1)/(x+2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2F%28x-5%29+%29=%281%29%2F%28x%2B2%29.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2F%28x-5%29=%281%29%2F%28x%2B2%29.
Look at -2%2F%28x-5%29=highlight_red%28+%28highlight_red%28+1+%29%29%2F%28x%2B2%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes -2%2F%28x-5%29=highlight_green%28+1+%29%2F%28x%2B2%29.
Look at -2%2F%28x-5%29=highlight_red%28+1%2F%28x%2B2%29+%29.
Moved these terms to the left highlight_green%28+-1%2F%28x%2B2%29+%29
It becomes -2%2F%28x-5%29-highlight_green%28+1%2F%28x%2B2%29+%29=0.
Result: -2%2F%28x-5%29-1%2F%28x%2B2%29=0

Universal Simplifier and Solver


Done!