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Simplifying 2[2(3 + -5x) + 4] = 5[2(3 + -3x) + 2] 2[(3 * 2 + -5x * 2) + 4] = 5[2(3 + -3x) + 2] 2[(6 + -10x) + 4] = 5[2(3 + -3x) + 2] Reorder the terms: 2[6 + 4 + -10x] = 5[2(3 + -3x) + 2] Combine like terms: 6 + 4 = 10 2[10 + -10x] = 5[2(3 + -3x) + 2] [10 * 2 + -10x * 2] = 5[2(3 + -3x) + 2] [20 + -20x] = 5[2(3 + -3x) + 2] 20 + -20x = 5[(3 * 2 + -3x * 2) + 2] 20 + -20x = 5[(6 + -6x) + 2] Reorder the terms: 20 + -20x = 5[6 + 2 + -6x] Combine like terms: 6 + 2 = 8 20 + -20x = 5[8 + -6x] 20 + -20x = [8 * 5 + -6x * 5] 20 + -20x = [40 + -30x] Solving 20 + -20x = 40 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 20 + -20x + 30x = 40 + -30x + 30x Combine like terms: -20x + 30x = 10x 20 + 10x = 40 + -30x + 30x Combine like terms: -30x + 30x = 0 20 + 10x = 40 + 0 20 + 10x = 40 Add '-20' to each side of the equation. 20 + -20 + 10x = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 40 + -20 10x = 40 + -20 Combine like terms: 40 + -20 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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