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Simplifying 2[5x + -1(3x + -4)] = 3(2x + 3) Reorder the terms: 2[5x + -1(-4 + 3x)] = 3(2x + 3) 2[5x + (-4 * -1 + 3x * -1)] = 3(2x + 3) 2[5x + (4 + -3x)] = 3(2x + 3) Reorder the terms: 2[4 + 5x + -3x] = 3(2x + 3) Combine like terms: 5x + -3x = 2x 2[4 + 2x] = 3(2x + 3) [4 * 2 + 2x * 2] = 3(2x + 3) [8 + 4x] = 3(2x + 3) Reorder the terms: 8 + 4x = 3(3 + 2x) 8 + 4x = (3 * 3 + 2x * 3) 8 + 4x = (9 + 6x) Solving 8 + 4x = 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. 8 + 4x + -6x = 9 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = 9 + 0 8 + -2x = 9 Add '-8' to each side of the equation. 8 + -8 + -2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 9 + -8 -2x = 9 + -8 Combine like terms: 9 + -8 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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