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Simplifying 16[5 + -1(4 + -2x)] + 3x = 5(7x + 4) + -4 16[5 + (4 * -1 + -2x * -1)] + 3x = 5(7x + 4) + -4 16[5 + (-4 + 2x)] + 3x = 5(7x + 4) + -4 Combine like terms: 5 + -4 = 1 16[1 + 2x] + 3x = 5(7x + 4) + -4 [1 * 16 + 2x * 16] + 3x = 5(7x + 4) + -4 [16 + 32x] + 3x = 5(7x + 4) + -4 Combine like terms: 32x + 3x = 35x 16 + 35x = 5(7x + 4) + -4 Reorder the terms: 16 + 35x = 5(4 + 7x) + -4 16 + 35x = (4 * 5 + 7x * 5) + -4 16 + 35x = (20 + 35x) + -4 Reorder the terms: 16 + 35x = 20 + -4 + 35x Combine like terms: 20 + -4 = 16 16 + 35x = 16 + 35x Add '-16' to each side of the equation. 16 + -16 + 35x = 16 + -16 + 35x Combine like terms: 16 + -16 = 0 0 + 35x = 16 + -16 + 35x 35x = 16 + -16 + 35x Combine like terms: 16 + -16 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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