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Simplifying x + -2[x + -3(3x + -6)] = 7x + 2(5x + -18) Reorder the terms: x + -2[x + -3(-6 + 3x)] = 7x + 2(5x + -18) x + -2[x + (-6 * -3 + 3x * -3)] = 7x + 2(5x + -18) x + -2[x + (18 + -9x)] = 7x + 2(5x + -18) Reorder the terms: x + -2[18 + x + -9x] = 7x + 2(5x + -18) Combine like terms: x + -9x = -8x x + -2[18 + -8x] = 7x + 2(5x + -18) x + [18 * -2 + -8x * -2] = 7x + 2(5x + -18) x + [-36 + 16x] = 7x + 2(5x + -18) Reorder the terms: -36 + x + 16x = 7x + 2(5x + -18) Combine like terms: x + 16x = 17x -36 + 17x = 7x + 2(5x + -18) Reorder the terms: -36 + 17x = 7x + 2(-18 + 5x) -36 + 17x = 7x + (-18 * 2 + 5x * 2) -36 + 17x = 7x + (-36 + 10x) Reorder the terms: -36 + 17x = -36 + 7x + 10x Combine like terms: 7x + 10x = 17x -36 + 17x = -36 + 17x Add '36' to each side of the equation. -36 + 36 + 17x = -36 + 36 + 17x Combine like terms: -36 + 36 = 0 0 + 17x = -36 + 36 + 17x 17x = -36 + 36 + 17x Combine like terms: -36 + 36 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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