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Simplifying 6[2 + -1(4 + 2x)] + -4x = -14 + 2(1 + -8x) 6[2 + (4 * -1 + 2x * -1)] + -4x = -14 + 2(1 + -8x) 6[2 + (-4 + -2x)] + -4x = -14 + 2(1 + -8x) Combine like terms: 2 + -4 = -2 6[-2 + -2x] + -4x = -14 + 2(1 + -8x) [-2 * 6 + -2x * 6] + -4x = -14 + 2(1 + -8x) [-12 + -12x] + -4x = -14 + 2(1 + -8x) Combine like terms: -12x + -4x = -16x -12 + -16x = -14 + 2(1 + -8x) -12 + -16x = -14 + (1 * 2 + -8x * 2) -12 + -16x = -14 + (2 + -16x) Combine like terms: -14 + 2 = -12 -12 + -16x = -12 + -16x Add '12' to each side of the equation. -12 + 12 + -16x = -12 + 12 + -16x Combine like terms: -12 + 12 = 0 0 + -16x = -12 + 12 + -16x -16x = -12 + 12 + -16x Combine like terms: -12 + 12 = 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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