SOLUTION: (3x)/(x-1)-(2)/(x+2)=3

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Question 760197: (3x)/(x-1)-(2)/(x+2)=3
Answer by engr.gelo(2)   (Show Source): You can put this solution on YOUR website!
(3x)/(x-1)-(2)/(x+2)=3
multiply both sides of the equal sign by its least common denominator:
in this case, the least common denominator will be (x - 1)(x + 2)
(x - 1)(x + 2){[(3x)/(x - 1)] - [(2)/(x + 2)]} = (3)(x -1)(x + 2)
(3x)(x + 2) - (2)(x - 1) = (3)(x + 2)(x - 1)
simplifying:
3x^2 + 6x - 2x + 2 = 3x^2 + 3x - 6
combine like terms:
x = -8 ANSWER

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