SOLUTION: Solve for X: x+1/x+5=x+3/x-8 please show work

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Question 315565: Solve for X:
x+1/x+5=x+3/x-8
please show work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%2F%28x%2B5%29=%28x%2B3%29%2F%28x-8%29 Start with the given equation.


%28x%2B1%29%28x-8%29=%28x%2B3%29%28x%2B5%29 Cross multiply.


x%5E2-7x-8=x%5E2%2B8x%2B15 FOIL


x%5E2-7x-8-x%5E2-8x-15=0 Get every term to the left side.


-15x-23=0 Combine like terms.


-15x=0%2B23 Add 23 to both sides.


-15x=23 Combine like terms on the right side.


x=%2823%29%2F%28-15%29 Divide both sides by -15 to isolate x.


x=-23%2F15 Reduce.


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Answer:

So the solution is x=-23%2F15