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Simplifying 8[2 + -1(3 + 4x)] + -4x = -10 + 2(1 + -18x) 8[2 + (3 * -1 + 4x * -1)] + -4x = -10 + 2(1 + -18x) 8[2 + (-3 + -4x)] + -4x = -10 + 2(1 + -18x) Combine like terms: 2 + -3 = -1 8[-1 + -4x] + -4x = -10 + 2(1 + -18x) [-1 * 8 + -4x * 8] + -4x = -10 + 2(1 + -18x) [-8 + -32x] + -4x = -10 + 2(1 + -18x) Combine like terms: -32x + -4x = -36x -8 + -36x = -10 + 2(1 + -18x) -8 + -36x = -10 + (1 * 2 + -18x * 2) -8 + -36x = -10 + (2 + -36x) Combine like terms: -10 + 2 = -8 -8 + -36x = -8 + -36x Add '8' to each side of the equation. -8 + 8 + -36x = -8 + 8 + -36x Combine like terms: -8 + 8 = 0 0 + -36x = -8 + 8 + -36x -36x = -8 + 8 + -36x Combine like terms: -8 + 8 = 0 -36x = 0 + -36x -36x = -36x Add '36x' to each side of the equation. -36x + 36x = -36x + 36x Combine like terms: -36x + 36x = 0 0 = -36x + 36x Combine like terms: -36x + 36x = 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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