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Simplifying 3(2x + -1) + -2(x + -3) = 2[1 + -1(5 + -2x)] + 11 Reorder the terms: 3(-1 + 2x) + -2(x + -3) = 2[1 + -1(5 + -2x)] + 11 (-1 * 3 + 2x * 3) + -2(x + -3) = 2[1 + -1(5 + -2x)] + 11 (-3 + 6x) + -2(x + -3) = 2[1 + -1(5 + -2x)] + 11 Reorder the terms: -3 + 6x + -2(-3 + x) = 2[1 + -1(5 + -2x)] + 11 -3 + 6x + (-3 * -2 + x * -2) = 2[1 + -1(5 + -2x)] + 11 -3 + 6x + (6 + -2x) = 2[1 + -1(5 + -2x)] + 11 Reorder the terms: -3 + 6 + 6x + -2x = 2[1 + -1(5 + -2x)] + 11 Combine like terms: -3 + 6 = 3 3 + 6x + -2x = 2[1 + -1(5 + -2x)] + 11 Combine like terms: 6x + -2x = 4x 3 + 4x = 2[1 + -1(5 + -2x)] + 11 3 + 4x = 2[1 + (5 * -1 + -2x * -1)] + 11 3 + 4x = 2[1 + (-5 + 2x)] + 11 Combine like terms: 1 + -5 = -4 3 + 4x = 2[-4 + 2x] + 11 3 + 4x = [-4 * 2 + 2x * 2] + 11 3 + 4x = [-8 + 4x] + 11 Reorder the terms: 3 + 4x = -8 + 11 + 4x Combine like terms: -8 + 11 = 3 3 + 4x = 3 + 4x Add '-3' to each side of the equation. 3 + -3 + 4x = 3 + -3 + 4x Combine like terms: 3 + -3 = 0 0 + 4x = 3 + -3 + 4x 4x = 3 + -3 + 4x Combine like terms: 3 + -3 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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