SOLUTION: I have tried and tried on this problem, would someone please enlighten me? Section 5.5 Solve and check each of the following equations for x. 48. x/(x-2)-(x+1)/x=8/(x^2-2x)

Question 97261: I have tried and tried on this problem, would someone please enlighten me?
Section 5.5
Solve and check each of the following equations for x.
48. x/(x-2)-(x+1)/x=8/(x^2-2x)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x/(x-2)) - ((x+1)/x) = 8/(x^2-2x)
Multiply thru by x(x-2) to get rid of the denominators:
x*x - (x+1)(x-2) = 8
x^2 - [x^2-x-2] = 8
x+2 = 8
x = 6
---------------
Checking:
6/(4) - 7/6 = 8/(36-12)
3/2 - 7/6 = 8/24
9/6 - 7/6 = 2/6
2/6 = 2/6
================
Cheers,
Stan H.

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