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Simplifying 0.25(8x + -12) + -2 = 8x + -1[6x + -1(-5)] Reorder the terms: 0.25(-12 + 8x) + -2 = 8x + -1[6x + -1(-5)] (-12 * 0.25 + 8x * 0.25) + -2 = 8x + -1[6x + -1(-5)] (-3 + 2x) + -2 = 8x + -1[6x + -1(-5)] Reorder the terms: -3 + -2 + 2x = 8x + -1[6x + -1(-5)] Combine like terms: -3 + -2 = -5 -5 + 2x = 8x + -1[6x + -1(-5)] Multiply -1 * -5 -5 + 2x = 8x + -1[6x + 5] Reorder the terms: -5 + 2x = 8x + -1[5 + 6x] -5 + 2x = 8x + [5 * -1 + 6x * -1] -5 + 2x = 8x + [-5 + -6x] Reorder the terms: -5 + 2x = -5 + 8x + -6x Combine like terms: 8x + -6x = 2x -5 + 2x = -5 + 2x Add '5' to each side of the equation. -5 + 5 + 2x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + 2x = -5 + 5 + 2x 2x = -5 + 5 + 2x Combine like terms: -5 + 5 = 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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