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Simplifying [5x + -1(3x + -4)] = 3(2x + 3) Reorder the terms: [5x + -1(-4 + 3x)] = 3(2x + 3) [5x + (-4 * -1 + 3x * -1)] = 3(2x + 3) [5x + (4 + -3x)] = 3(2x + 3) Reorder the terms: [4 + 5x + -3x] = 3(2x + 3) Combine like terms: 5x + -3x = 2x [4 + 2x] = 3(2x + 3) Remove brackets around [4 + 2x] 4 + 2x = 3(2x + 3) Reorder the terms: 4 + 2x = 3(3 + 2x) 4 + 2x = (3 * 3 + 2x * 3) 4 + 2x = (9 + 6x) Solving 4 + 2x = 9 + 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. 4 + 2x + -6x = 9 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = 9 + 0 4 + -4x = 9 Add '-4' to each side of the equation. 4 + -4 + -4x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 9 + -4 -4x = 9 + -4 Combine like terms: 9 + -4 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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