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Simplifying [5x + 9] + -1[3x + -13] = 2[11 + x] Reorder the terms: [9 + 5x] + -1[3x + -13] = 2[11 + x] Remove brackets around [9 + 5x] 9 + 5x + -1[3x + -13] = 2[11 + x] Reorder the terms: 9 + 5x + -1[-13 + 3x] = 2[11 + x] 9 + 5x + [-13 * -1 + 3x * -1] = 2[11 + x] 9 + 5x + [13 + -3x] = 2[11 + x] Reorder the terms: 9 + 13 + 5x + -3x = 2[11 + x] Combine like terms: 9 + 13 = 22 22 + 5x + -3x = 2[11 + x] Combine like terms: 5x + -3x = 2x 22 + 2x = 2[11 + x] 22 + 2x = [11 * 2 + x * 2] 22 + 2x = [22 + 2x] Add '-22' to each side of the equation. 22 + -22 + 2x = 22 + -22 + 2x Combine like terms: 22 + -22 = 0 0 + 2x = 22 + -22 + 2x 2x = 22 + -22 + 2x Combine like terms: 22 + -22 = 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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