Simplifying 5x + -7 = -10x + 8 Reorder the terms: -7 + 5x = -10x + 8 Reorder the terms: -7 + 5x = 8 + -10x Solving -7 + 5x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7 + 5x + 10x = 8 + -10x + 10x Combine like terms: 5x + 10x = 15x -7 + 15x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 15x = 8 + 0 -7 + 15x = 8 Add '7' to each side of the equation. -7 + 7 + 15x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 8 + 7 15x = 8 + 7 Combine like terms: 8 + 7 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1