Solve for x: 3 (x + 1) = 2 (x - 1).

Answer: x = - 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

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

(3) (x) + (3) (1) = (2) (x) + (2) (-1) (Distribute)

3x+3=2x+-2

3x+3=2x-2

Step 2: Subtract 2x from both sides.

3x+3-2x=2x-2-2x

x+3=-2

Step 3: Subtract 3 from both sides.

x+3-3=-2-3

x=-5