5/x+5 - 2/x-3 = -1/x^2+2x-15
If I could see it worked out I think that would really help me see the process. I know I have to multiply the denominator to remove the fraction.
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I'm going to assume that you left out some parentheses:
5/(x+5) - 2/(x-3) = -1/(x^2+2x-15)
Factor the denominator on the right side to get:
-1/[(x+5)(x-3)]
Now, if you multiply both sides of the equation by (x+5)(x-3), you will eliminate all denominators:
5(x-3) - 2(x+5) = -1
Use the Distributive Property to eliminate parentheses:
5x - 15 - 2x - 10 = -1
Gather like terms:
3x - 25 = -1
Isolate the x term to one side of the equation:
3x = 24
Divide both sides by 3:
x = 8
Check the answer in the original equation. (Your job!)
Hope that helps...
Steve