Question

Solution of the equation x+b/a-b = x-b/a+b​

Answer 1

x+b/a-b = x-b/a+b

=> (x+b)(a+b) = (x-b)(a-b)

=> ax + bx + ab + b^2 = ax - bx - ab + b^2

=> bx + bx + ab + ab = 0

=> 2bx + 2ab = 0

=> bx = -ab

=> x = -a (ans.)