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Simplifying 2[3x + -1(x + 4)] = 3[2(5 + -1x) + -6] Reorder the terms: 2[3x + -1(4 + x)] = 3[2(5 + -1x) + -6] 2[3x + (4 * -1 + x * -1)] = 3[2(5 + -1x) + -6] 2[3x + (-4 + -1x)] = 3[2(5 + -1x) + -6] Reorder the terms: 2[-4 + 3x + -1x] = 3[2(5 + -1x) + -6] Combine like terms: 3x + -1x = 2x 2[-4 + 2x] = 3[2(5 + -1x) + -6] [-4 * 2 + 2x * 2] = 3[2(5 + -1x) + -6] [-8 + 4x] = 3[2(5 + -1x) + -6] -8 + 4x = 3[(5 * 2 + -1x * 2) + -6] -8 + 4x = 3[(10 + -2x) + -6] Reorder the terms: -8 + 4x = 3[10 + -6 + -2x] Combine like terms: 10 + -6 = 4 -8 + 4x = 3[4 + -2x] -8 + 4x = [4 * 3 + -2x * 3] -8 + 4x = [12 + -6x] Solving -8 + 4x = 12 + -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 = 12 + -6x + 6x Combine like terms: 4x + 6x = 10x -8 + 10x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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