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Simplifying 2[2(6x + 3) + -5(2x + -4)] = 0 Reorder the terms: 2[2(3 + 6x) + -5(2x + -4)] = 0 2[(3 * 2 + 6x * 2) + -5(2x + -4)] = 0 2[(6 + 12x) + -5(2x + -4)] = 0 Reorder the terms: 2[6 + 12x + -5(-4 + 2x)] = 0 2[6 + 12x + (-4 * -5 + 2x * -5)] = 0 2[6 + 12x + (20 + -10x)] = 0 Reorder the terms: 2[6 + 20 + 12x + -10x] = 0 Combine like terms: 6 + 20 = 26 2[26 + 12x + -10x] = 0 Combine like terms: 12x + -10x = 2x 2[26 + 2x] = 0 [26 * 2 + 2x * 2] = 0 [52 + 4x] = 0 Solving 52 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 4x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 0 + -52 4x = 0 + -52 Combine like terms: 0 + -52 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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