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Simplifying 7[4 + -1(3 + -5x)] + 5x = 5(8x + 2) + -3 7[4 + (3 * -1 + -5x * -1)] + 5x = 5(8x + 2) + -3 7[4 + (-3 + 5x)] + 5x = 5(8x + 2) + -3 Combine like terms: 4 + -3 = 1 7[1 + 5x] + 5x = 5(8x + 2) + -3 [1 * 7 + 5x * 7] + 5x = 5(8x + 2) + -3 [7 + 35x] + 5x = 5(8x + 2) + -3 Combine like terms: 35x + 5x = 40x 7 + 40x = 5(8x + 2) + -3 Reorder the terms: 7 + 40x = 5(2 + 8x) + -3 7 + 40x = (2 * 5 + 8x * 5) + -3 7 + 40x = (10 + 40x) + -3 Reorder the terms: 7 + 40x = 10 + -3 + 40x Combine like terms: 10 + -3 = 7 7 + 40x = 7 + 40x Add '-7' to each side of the equation. 7 + -7 + 40x = 7 + -7 + 40x Combine like terms: 7 + -7 = 0 0 + 40x = 7 + -7 + 40x 40x = 7 + -7 + 40x Combine like terms: 7 + -7 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 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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