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Simplifying 2[4(2x + 3) + -3(x + 3)] = 10x + 6 Reorder the terms: 2[4(3 + 2x) + -3(x + 3)] = 10x + 6 2[(3 * 4 + 2x * 4) + -3(x + 3)] = 10x + 6 2[(12 + 8x) + -3(x + 3)] = 10x + 6 Reorder the terms: 2[12 + 8x + -3(3 + x)] = 10x + 6 2[12 + 8x + (3 * -3 + x * -3)] = 10x + 6 2[12 + 8x + (-9 + -3x)] = 10x + 6 Reorder the terms: 2[12 + -9 + 8x + -3x] = 10x + 6 Combine like terms: 12 + -9 = 3 2[3 + 8x + -3x] = 10x + 6 Combine like terms: 8x + -3x = 5x 2[3 + 5x] = 10x + 6 [3 * 2 + 5x * 2] = 10x + 6 [6 + 10x] = 10x + 6 Reorder the terms: 6 + 10x = 6 + 10x Add '-6' to each side of the equation. 6 + -6 + 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 0 + 10x = 6 + -6 + 10x 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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