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Simplifying 8[3 + -1(5 + 2x)] + -4x = -18 + 2(1 + -10x) 8[3 + (5 * -1 + 2x * -1)] + -4x = -18 + 2(1 + -10x) 8[3 + (-5 + -2x)] + -4x = -18 + 2(1 + -10x) Combine like terms: 3 + -5 = -2 8[-2 + -2x] + -4x = -18 + 2(1 + -10x) [-2 * 8 + -2x * 8] + -4x = -18 + 2(1 + -10x) [-16 + -16x] + -4x = -18 + 2(1 + -10x) Combine like terms: -16x + -4x = -20x -16 + -20x = -18 + 2(1 + -10x) -16 + -20x = -18 + (1 * 2 + -10x * 2) -16 + -20x = -18 + (2 + -20x) Combine like terms: -18 + 2 = -16 -16 + -20x = -16 + -20x Add '16' to each side of the equation. -16 + 16 + -20x = -16 + 16 + -20x Combine like terms: -16 + 16 = 0 0 + -20x = -16 + 16 + -20x -20x = -16 + 16 + -20x Combine like terms: -16 + 16 = 0 -20x = 0 + -20x -20x = -20x Add '20x' to each side of the equation. -20x + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 0 = -20x + 20x Combine like terms: -20x + 20x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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