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Simplifying 8(2x + 3) = 5[15 + 2(x + -4) + 8] Reorder the terms: 8(3 + 2x) = 5[15 + 2(x + -4) + 8] (3 * 8 + 2x * 8) = 5[15 + 2(x + -4) + 8] (24 + 16x) = 5[15 + 2(x + -4) + 8] Reorder the terms: 24 + 16x = 5[15 + 2(-4 + x) + 8] 24 + 16x = 5[15 + (-4 * 2 + x * 2) + 8] 24 + 16x = 5[15 + (-8 + 2x) + 8] Reorder the terms: 24 + 16x = 5[15 + -8 + 8 + 2x] Combine like terms: 15 + -8 = 7 24 + 16x = 5[7 + 8 + 2x] Combine like terms: 7 + 8 = 15 24 + 16x = 5[15 + 2x] 24 + 16x = [15 * 5 + 2x * 5] 24 + 16x = [75 + 10x] Solving 24 + 16x = 75 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 16x + -10x = 75 + 10x + -10x Combine like terms: 16x + -10x = 6x 24 + 6x = 75 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 6x = 75 + 0 24 + 6x = 75 Add '-24' to each side of the equation. 24 + -24 + 6x = 75 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 75 + -24 6x = 75 + -24 Combine like terms: 75 + -24 = 51 6x = 51 Divide each side by '6'. x = 8.5 Simplifying x = 8.5
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