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Simplifying 2[3x + 4] + -1[x + -8] = 3[4x + 2] + -7x + 10 Reorder the terms: 2[4 + 3x] + -1[x + -8] = 3[4x + 2] + -7x + 10 [4 * 2 + 3x * 2] + -1[x + -8] = 3[4x + 2] + -7x + 10 [8 + 6x] + -1[x + -8] = 3[4x + 2] + -7x + 10 Reorder the terms: 8 + 6x + -1[-8 + x] = 3[4x + 2] + -7x + 10 8 + 6x + [-8 * -1 + x * -1] = 3[4x + 2] + -7x + 10 8 + 6x + [8 + -1x] = 3[4x + 2] + -7x + 10 Reorder the terms: 8 + 8 + 6x + -1x = 3[4x + 2] + -7x + 10 Combine like terms: 8 + 8 = 16 16 + 6x + -1x = 3[4x + 2] + -7x + 10 Combine like terms: 6x + -1x = 5x 16 + 5x = 3[4x + 2] + -7x + 10 Reorder the terms: 16 + 5x = 3[2 + 4x] + -7x + 10 16 + 5x = [2 * 3 + 4x * 3] + -7x + 10 16 + 5x = [6 + 12x] + -7x + 10 Reorder the terms: 16 + 5x = 6 + 10 + 12x + -7x Combine like terms: 6 + 10 = 16 16 + 5x = 16 + 12x + -7x Combine like terms: 12x + -7x = 5x 16 + 5x = 16 + 5x Add '-16' to each side of the equation. 16 + -16 + 5x = 16 + -16 + 5x Combine like terms: 16 + -16 = 0 0 + 5x = 16 + -16 + 5x 5x = 16 + -16 + 5x Combine like terms: 16 + -16 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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