Solve the following equation and explain each step used in solving the equation

(3 / (x - 3)) = (1 / (x-1)) + (7 / ((x-1) (x-3))

Multiply all terms by (x-3) (x-1) would be your first step.

This gives you:

3 (x - 1) = (x - 3) + 7

3x - 3 = x + 4

-x on both sides:

2x - 3 = 4

Add 3 to both sides:

2x = 7

Divide both sides by 2:

x = 7/2