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Simplifying 5[3 + -1(2 + -5x)] + 2x = 3(9x + 2) + -1 5[3 + (2 * -1 + -5x * -1)] + 2x = 3(9x + 2) + -1 5[3 + (-2 + 5x)] + 2x = 3(9x + 2) + -1 Combine like terms: 3 + -2 = 1 5[1 + 5x] + 2x = 3(9x + 2) + -1 [1 * 5 + 5x * 5] + 2x = 3(9x + 2) + -1 [5 + 25x] + 2x = 3(9x + 2) + -1 Combine like terms: 25x + 2x = 27x 5 + 27x = 3(9x + 2) + -1 Reorder the terms: 5 + 27x = 3(2 + 9x) + -1 5 + 27x = (2 * 3 + 9x * 3) + -1 5 + 27x = (6 + 27x) + -1 Reorder the terms: 5 + 27x = 6 + -1 + 27x Combine like terms: 6 + -1 = 5 5 + 27x = 5 + 27x Add '-5' to each side of the equation. 5 + -5 + 27x = 5 + -5 + 27x Combine like terms: 5 + -5 = 0 0 + 27x = 5 + -5 + 27x 27x = 5 + -5 + 27x Combine like terms: 5 + -5 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 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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