Question 61169
x/x-2 = 2/x-3

Cross multiply the above term, we get

x(x-3) = 2(x-2)

x^2 – 3x = 2x – 4

x^2 -3x -2x + 4 = 0

x^2 – 5x + 4 = 0

x^2 – 4x –x + 4 = 0

x(x- 4) -1(x- 4) = 0

(x-4) (x-1) = 0

x = 4 or x =1