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Simplifying 6[5 + -1(4 + -5x)] + 2x = 4(8x + 5) + -14 6[5 + (4 * -1 + -5x * -1)] + 2x = 4(8x + 5) + -14 6[5 + (-4 + 5x)] + 2x = 4(8x + 5) + -14 Combine like terms: 5 + -4 = 1 6[1 + 5x] + 2x = 4(8x + 5) + -14 [1 * 6 + 5x * 6] + 2x = 4(8x + 5) + -14 [6 + 30x] + 2x = 4(8x + 5) + -14 Combine like terms: 30x + 2x = 32x 6 + 32x = 4(8x + 5) + -14 Reorder the terms: 6 + 32x = 4(5 + 8x) + -14 6 + 32x = (5 * 4 + 8x * 4) + -14 6 + 32x = (20 + 32x) + -14 Reorder the terms: 6 + 32x = 20 + -14 + 32x Combine like terms: 20 + -14 = 6 6 + 32x = 6 + 32x Add '-6' to each side of the equation. 6 + -6 + 32x = 6 + -6 + 32x Combine like terms: 6 + -6 = 0 0 + 32x = 6 + -6 + 32x 32x = 6 + -6 + 32x Combine like terms: 6 + -6 = 0 32x = 0 + 32x 32x = 32x Add '-32x' to each side of the equation. 32x + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 32x + -32x Combine like terms: 32x + -32x = 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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