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Simplifying 11[5 + -1(4 + -2x)] + 10x = 4(8x + 4) + -5 11[5 + (4 * -1 + -2x * -1)] + 10x = 4(8x + 4) + -5 11[5 + (-4 + 2x)] + 10x = 4(8x + 4) + -5 Combine like terms: 5 + -4 = 1 11[1 + 2x] + 10x = 4(8x + 4) + -5 [1 * 11 + 2x * 11] + 10x = 4(8x + 4) + -5 [11 + 22x] + 10x = 4(8x + 4) + -5 Combine like terms: 22x + 10x = 32x 11 + 32x = 4(8x + 4) + -5 Reorder the terms: 11 + 32x = 4(4 + 8x) + -5 11 + 32x = (4 * 4 + 8x * 4) + -5 11 + 32x = (16 + 32x) + -5 Reorder the terms: 11 + 32x = 16 + -5 + 32x Combine like terms: 16 + -5 = 11 11 + 32x = 11 + 32x Add '-11' to each side of the equation. 11 + -11 + 32x = 11 + -11 + 32x Combine like terms: 11 + -11 = 0 0 + 32x = 11 + -11 + 32x 32x = 11 + -11 + 32x Combine like terms: 11 + -11 = 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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