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Simplifying 6[2 + -1(5 + 2x)] + -4x = -20 + 2(1 + -8x) 6[2 + (5 * -1 + 2x * -1)] + -4x = -20 + 2(1 + -8x) 6[2 + (-5 + -2x)] + -4x = -20 + 2(1 + -8x) Combine like terms: 2 + -5 = -3 6[-3 + -2x] + -4x = -20 + 2(1 + -8x) [-3 * 6 + -2x * 6] + -4x = -20 + 2(1 + -8x) [-18 + -12x] + -4x = -20 + 2(1 + -8x) Combine like terms: -12x + -4x = -16x -18 + -16x = -20 + 2(1 + -8x) -18 + -16x = -20 + (1 * 2 + -8x * 2) -18 + -16x = -20 + (2 + -16x) Combine like terms: -20 + 2 = -18 -18 + -16x = -18 + -16x Add '18' to each side of the equation. -18 + 18 + -16x = -18 + 18 + -16x Combine like terms: -18 + 18 = 0 0 + -16x = -18 + 18 + -16x -16x = -18 + 18 + -16x Combine like terms: -18 + 18 = 0 -16x = 0 + -16x -16x = -16x Add '16x' to each side of the equation. -16x + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 0 = -16x + 16x Combine like terms: -16x + 16x = 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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