Question

Solve the equation. show all work. 3x - 10 = 5x + 22

Answer 1

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