Simplifying 3(5x + -2) = 4(3x + 6) Reorder the terms: 3(-2 + 5x) = 4(3x + 6) (-2 * 3 + 5x * 3) = 4(3x + 6) (-6 + 15x) = 4(3x + 6) Reorder the terms: -6 + 15x = 4(6 + 3x) -6 + 15x = (6 * 4 + 3x * 4) -6 + 15x = (24 + 12x) Solving -6 + 15x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 15x + -12x = 24 + 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = 24 + 0 -6 + 3x = 24