SOLUTION: Solve 2/x-1=5/x-1-3/4. I am unable to solve this because I can not figure out how I would get the LCD. I did not find any similar examples in my book either. Please help! Thank you

Question 761174: Solve 2/x-1=5/x-1-3/4. I am unable to solve this because I can not figure out how I would get the LCD. I did not find any similar examples in my book either. Please help! Thank you!
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
hi there,
2/(x - 1) = 5/(x - 1) - 3/4
LCD = 4(x - 1)
8 = 20 -3(x - 1)
8 = 20 -3x + 3
8 - 20 - 3 = -3x
-15 = -3x
x = 5
Proof:
2/(x - 1) = 5/(x - 1) - 3/4
2/(5 - 1) = 5/(5 - 1) - 3/4
2/4 = 5/4 - 3/4 Which is correct.
Hope this helps.
:-)
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