Question

2/x+3 - 2x+3/x-1= 6x-5/x^2+2x-3

2/x+3 - 2x+3/x-1= 6x-5/(x-1)(x+3)

2/x+3(x-1)(x+3) - 2x+3/x-1(x-1)(x+3)= 6x-5/(x-1)(x+3)(x-1)(x+3)

2(x-1)- (x+3)2x+3= 6x-5

2x-2-2x^2+6x+3=6x-5 (little lost on this part)

I only get number that won't go together
Ex: 2{x^2-7x-5}=0

plus the answer is -6 and -1/2

What mistake did I make?