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Simplifying 5 + 2[1 + 2(2x + -2)] = 6(x + 5) Reorder the terms: 5 + 2[1 + 2(-2 + 2x)] = 6(x + 5) 5 + 2[1 + (-2 * 2 + 2x * 2)] = 6(x + 5) 5 + 2[1 + (-4 + 4x)] = 6(x + 5) Combine like terms: 1 + -4 = -3 5 + 2[-3 + 4x] = 6(x + 5) 5 + [-3 * 2 + 4x * 2] = 6(x + 5) 5 + [-6 + 8x] = 6(x + 5) Combine like terms: 5 + -6 = -1 -1 + 8x = 6(x + 5) Reorder the terms: -1 + 8x = 6(5 + x) -1 + 8x = (5 * 6 + x * 6) -1 + 8x = (30 + 6x) Solving -1 + 8x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 8x + -6x = 30 + 6x + -6x Combine like terms: 8x + -6x = 2x -1 + 2x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 2x = 30 + 0 -1 + 2x = 30 Add '1' to each side of the equation. -1 + 1 + 2x = 30 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 30 + 1 2x = 30 + 1 Combine like terms: 30 + 1 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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