SOLUTION: How do you solve: 7/x-3 + 1/x-3 = x-5 Thank you!

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Question 297574: How do you solve:
7/x-3 + 1/x-3 = x-5

Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve:
7/x-3 + 1/x-3 = x-5
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Multiply thru by x-3 to get:
7 + 1 = (x-3)(x-5)
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x^2-8x+15 = 8
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Rearrange:
x^2 - 8x + 7 = 0
Factor:
(x-7)(x-1) = 0
x = 1 or x = 7
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Cheers,
Stan H.