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Simplifying 6[3 + -1(5 + 6x)] + -4x = -14 + 2(1 + -20x) 6[3 + (5 * -1 + 6x * -1)] + -4x = -14 + 2(1 + -20x) 6[3 + (-5 + -6x)] + -4x = -14 + 2(1 + -20x) Combine like terms: 3 + -5 = -2 6[-2 + -6x] + -4x = -14 + 2(1 + -20x) [-2 * 6 + -6x * 6] + -4x = -14 + 2(1 + -20x) [-12 + -36x] + -4x = -14 + 2(1 + -20x) Combine like terms: -36x + -4x = -40x -12 + -40x = -14 + 2(1 + -20x) -12 + -40x = -14 + (1 * 2 + -20x * 2) -12 + -40x = -14 + (2 + -40x) Combine like terms: -14 + 2 = -12 -12 + -40x = -12 + -40x Add '12' to each side of the equation. -12 + 12 + -40x = -12 + 12 + -40x Combine like terms: -12 + 12 = 0 0 + -40x = -12 + 12 + -40x -40x = -12 + 12 + -40x Combine like terms: -12 + 12 = 0 -40x = 0 + -40x -40x = -40x Add '40x' to each side of the equation. -40x + 40x = -40x + 40x Combine like terms: -40x + 40x = 0 0 = -40x + 40x Combine like terms: -40x + 40x = 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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