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Simplifying 5(2x + 3) + -1(1.2x) = 2[3(3 + 2x) + -1(3 + -1x)] Reorder the terms: 5(3 + 2x) + -1(1.2x) = 2[3(3 + 2x) + -1(3 + -1x)] (3 * 5 + 2x * 5) + -1(1.2x) = 2[3(3 + 2x) + -1(3 + -1x)] (15 + 10x) + -1(1.2x) = 2[3(3 + 2x) + -1(3 + -1x)] Remove parenthesis around (1.2x) 15 + 10x + -1 * 1.2x = 2[3(3 + 2x) + -1(3 + -1x)] Multiply -1 * 1.2 15 + 10x + -1.2x = 2[3(3 + 2x) + -1(3 + -1x)] Combine like terms: 10x + -1.2x = 8.8x 15 + 8.8x = 2[3(3 + 2x) + -1(3 + -1x)] 15 + 8.8x = 2[(3 * 3 + 2x * 3) + -1(3 + -1x)] 15 + 8.8x = 2[(9 + 6x) + -1(3 + -1x)] 15 + 8.8x = 2[9 + 6x + (3 * -1 + -1x * -1)] 15 + 8.8x = 2[9 + 6x + (-3 + 1x)] Reorder the terms: 15 + 8.8x = 2[9 + -3 + 6x + 1x] Combine like terms: 9 + -3 = 6 15 + 8.8x = 2[6 + 6x + 1x] Combine like terms: 6x + 1x = 7x 15 + 8.8x = 2[6 + 7x] 15 + 8.8x = [6 * 2 + 7x * 2] 15 + 8.8x = [12 + 14x] Solving 15 + 8.8x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 8.8x + -14x = 12 + 14x + -14x Combine like terms: 8.8x + -14x = -5.2x 15 + -5.2x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -5.2x = 12 + 0 15 + -5.2x = 12 Add '-15' to each side of the equation. 15 + -15 + -5.2x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -5.2x = 12 + -15 -5.2x = 12 + -15 Combine like terms: 12 + -15 = -3 -5.2x = -3 Divide each side by '-5.2'. x = 0.5769230769 Simplifying x = 0.5769230769
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