solve for x!!!!!!!!!!!!!!!!!!!!!!!!!

Question

(10/(x^2-1))+((2x-3)/(x+1))=((2x+3)/(x-1))

Answer 1

Given 10/(x^2-1)+(2x-3)/(x+1) = (2x+3)/(x-1)

=> 10/((x+1)*(x-1)) + (2x-3)/(x+1) = (2x+3)/(x-1)

Taking L.C.M, 

=> (10+(2x-3)*(x-1))/((x+1)*(x-1)) = (2x+3)/(x-1)

=> 10+2x^2-2x-3x+3)/((x+1)*(x-1)) = (2x+3)/(x-1)

=> 10+2x^2-5x+3 = (2x+3)*(x+1)

=> 2x^2-5x+13 = 2x^2+2x+3x+3

=> 13-3 = 5x+5x

=> 10 = 10x

=> x=1