Factor x^2 - 2x - 3
5/x + 1 + 1/x - 3 = -6/(x - 3)(x + 1)
Multiply both sides by the Least Common Denominator (LCD): (x + 1)(x - 3)
5(x - 3) + x + 1 = -6
Simplify
6x - 14 = -6
Add 14 to both sides
6x = -6 + 14
Simplify -6 + 14 to 8
6x = 8
Divide both sides by 6
x = 8/6
Simplify 8/6 to 4/3
x = 4/3
