x-5/x-1 + 2/x-3 = 1
⇒ (x-5)(x-3) + 2(x-1) = (x-3)(x-1)
⇔x²-3x-5x+15 + 2x-2 = x²-x-3x+3
⇔x²-6x+13 = x²-4x+3
⇔x²-x²-6x+4x = 3-13
⇔-2x =-10
⇔ x =5
2/x²+2x+1 - 5/x²-2x+1 = 3/1-x²
⇔2/(x+1)² - 5/(x-1)² = -3/(x-1)(x+1)
⇒ 2(x-1)² - 5(x+1)² = -3(x-1)(x+1)
⇔2x²+4x+2 - 5x²+10x-5 = -3x²+3
⇔-3x²+14x-3+3x²-3 = 0
⇔14x-6=0
⇔ x =3/7
