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Simplifying 8[3 + -1(4 + 6x)] + -2x = -10 + 2(1 + -25x) 8[3 + (4 * -1 + 6x * -1)] + -2x = -10 + 2(1 + -25x) 8[3 + (-4 + -6x)] + -2x = -10 + 2(1 + -25x) Combine like terms: 3 + -4 = -1 8[-1 + -6x] + -2x = -10 + 2(1 + -25x) [-1 * 8 + -6x * 8] + -2x = -10 + 2(1 + -25x) [-8 + -48x] + -2x = -10 + 2(1 + -25x) Combine like terms: -48x + -2x = -50x -8 + -50x = -10 + 2(1 + -25x) -8 + -50x = -10 + (1 * 2 + -25x * 2) -8 + -50x = -10 + (2 + -50x) Combine like terms: -10 + 2 = -8 -8 + -50x = -8 + -50x Add '8' to each side of the equation. -8 + 8 + -50x = -8 + 8 + -50x Combine like terms: -8 + 8 = 0 0 + -50x = -8 + 8 + -50x -50x = -8 + 8 + -50x Combine like terms: -8 + 8 = 0 -50x = 0 + -50x -50x = -50x Add '50x' to each side of the equation. -50x + 50x = -50x + 50x Combine like terms: -50x + 50x = 0 0 = -50x + 50x Combine like terms: -50x + 50x = 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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