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Simplifying 2(3x + 2) = 4[2x + -5(x + -2)] Reorder the terms: 2(2 + 3x) = 4[2x + -5(x + -2)] (2 * 2 + 3x * 2) = 4[2x + -5(x + -2)] (4 + 6x) = 4[2x + -5(x + -2)] Reorder the terms: 4 + 6x = 4[2x + -5(-2 + x)] 4 + 6x = 4[2x + (-2 * -5 + x * -5)] 4 + 6x = 4[2x + (10 + -5x)] Reorder the terms: 4 + 6x = 4[10 + 2x + -5x] Combine like terms: 2x + -5x = -3x 4 + 6x = 4[10 + -3x] 4 + 6x = [10 * 4 + -3x * 4] 4 + 6x = [40 + -12x] Solving 4 + 6x = 40 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 6x + 12x = 40 + -12x + 12x Combine like terms: 6x + 12x = 18x 4 + 18x = 40 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 18x = 40 + 0 4 + 18x = 40 Add '-4' to each side of the equation. 4 + -4 + 18x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 18x = 40 + -4 18x = 40 + -4 Combine like terms: 40 + -4 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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