SOLUTION: Solve each rational equation: 2x-1 over x^2+2x-8 plus 2 over x+4 = 1 over x-2 Thank you

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Question 1039271: Solve each rational equation:
2x-1 over x^2+2x-8
plus
2 over x+4
= 1 over x-2
Thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
In pure text,
(2x-1)/(x^2+2x-8)+2/(x+4)=1/(x-2)

Rendered to appear

Factoring the quadratic denominator

First step is to multiply the left and right members by the simplest common denominator ....

... then continue to simplify and solve for x.
Be sure to check if found values work in the original equation.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Solve each rational equation:
2x-1 over x^2+2x-8
plus
2 over x+4
= 1 over x-2
Thank you

Factoring denominator , we get: , with
2x - 1 + 2(x - 2) = 1(x + 4) -------- Multiplying by LCD, (x + 4)(x - 2)
2x - 1 + 2x - 4 = x + 4
2x + 2x - 5 = x + 4
4x - 5 = x + 4
4x - x = 4 + 5
3x = 9