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Simplifying 2[x + -5] = 4x + -2[x + 5] Reorder the terms: 2[-5 + x] = 4x + -2[x + 5] [-5 * 2 + x * 2] = 4x + -2[x + 5] [-10 + 2x] = 4x + -2[x + 5] Reorder the terms: -10 + 2x = 4x + -2[5 + x] -10 + 2x = 4x + [5 * -2 + x * -2] -10 + 2x = 4x + [-10 + -2x] Reorder the terms: -10 + 2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = -10 + 2x Add '10' to each side of the equation. -10 + 10 + 2x = -10 + 10 + 2x Combine like terms: -10 + 10 = 0 0 + 2x = -10 + 10 + 2x 2x = -10 + 10 + 2x Combine like terms: -10 + 10 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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