Question 110521
x over x-2, subtract x+1 over x = 8 over x^2-2x 
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x/(x-2) - (x+1)/x = 8/(x^2-2x)

Multiply thru by (x^2-2x) to get:

x(x) - (x+1)(x-2) = 8
x^2 - x^2+x+2 = 8
x+2 = 8
x = 6
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Checking:
6/4 - 7/6 = 8/24
36 - 28 = 8
8 - 8
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Cheers,
Stan H.