Question

2/(x - 3) + 1/(x - 1) = 5/(x - 1) - 2/(x - 2) find x

Answer 1

Answer:

Step-by-step explanation:

2/x-3 + 1/x-1 = 5/x-1 - 2/x-2

2(x-1) + 1(x-3)/(x-3)(x-1) = 5(x-2) - 2(x-1) / (x-1)(x-2)

x-1 from both side will get cut

3x - 5 / x - 3 = 3x - 8 / x-2

(3x - 5) (x-2) = (3x - 8) (x-3)

3x2 - 6x - 5x + 10 = 3x2 - 9x -8x +24

3x2 will get cancelled from  both side

-11x + 10 = -17x + 24

-11x + 17x = 24 - 10

6x = 14

x = 14/6

x = 7/3

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