2x-2+5/(x-1)
=2(x-1)+5/(x-1)
=2(x-1)(x-1)/(x-1)+5/(x-1)
=(2x²-4x+2)/(x-1)+5/(x-1)
=(2x²-4x+2+5)/(x-1)
=(2x²-4x+7)/(x-1)