SOLUTION: Solving a rational equation with an Extraneous solution, how would I solve this problem? (2x+3)/(x-1)-2=(3x-1)/(4x-4)

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Question 423292: Solving a rational equation with an Extraneous solution, how would I solve this problem?
(2x+3)/(x-1)-2=(3x-1)/(4x-4)
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%28%282x%2B3%29%2F%28x-1%29%29-2=%28%283x-1%29%2F%284%2A%28x-1%29%29%29
Multiply both sides with LCD 4*(x-1) with the condition x different from 1.
4%2A%282x%2B3%29-8%2A%28x-1%29=3x-1
8x+12-8x+8=3x-1
21=3x Divide both sides by 3
x=7.
You can check if x=7 satisfy the equation.