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Simplifying 5[2x + 3] = 3[4x + 1] + -2[3x + 2] Reorder the terms: 5[3 + 2x] = 3[4x + 1] + -2[3x + 2] [3 * 5 + 2x * 5] = 3[4x + 1] + -2[3x + 2] [15 + 10x] = 3[4x + 1] + -2[3x + 2] Reorder the terms: 15 + 10x = 3[1 + 4x] + -2[3x + 2] 15 + 10x = [1 * 3 + 4x * 3] + -2[3x + 2] 15 + 10x = [3 + 12x] + -2[3x + 2] Reorder the terms: 15 + 10x = 3 + 12x + -2[2 + 3x] 15 + 10x = 3 + 12x + [2 * -2 + 3x * -2] 15 + 10x = 3 + 12x + [-4 + -6x] Reorder the terms: 15 + 10x = 3 + -4 + 12x + -6x Combine like terms: 3 + -4 = -1 15 + 10x = -1 + 12x + -6x Combine like terms: 12x + -6x = 6x 15 + 10x = -1 + 6x Solving 15 + 10x = -1 + 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. 15 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -1 + 0 15 + 4x = -1 Add '-15' to each side of the equation. 15 + -15 + 4x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -1 + -15 4x = -1 + -15 Combine like terms: -1 + -15 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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