Solve the equation. show all work.

3x - 10 = 5x + 22

Simplifying 3x + 10 = 5x + 22 Reorder the terms: 10 + 3x = 5x + 22 Reorder the terms: 10 + 3x = 22 + 5x Solving 10 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + - 5x = 22 + 5x + - 5x Combine like terms: 3x + - 5x = - 2x 10 + - 2x = 22 + 5x + - 5x Combine like terms: 5x + - 5x = 0 10 + - 2x = 22 + 0 10 + - 2x = 22 Add '-10' to each side of the equation. 10 + - 10 + - 2x = 22 + - 10 Combine like terms: 10 + - 10 = 0 0 + - 2x = 22 + - 10 - 2x = 22 + - 10 Combine like terms: 22 + - 10 = 12 - 2x = 12 Divide each side by '-2'. x = - 6 Simplifying x = - 6