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Simplifying 4[6x + -3(x + 2)] = 2[4x + -2(x + -3)] Reorder the terms: 4[6x + -3(2 + x)] = 2[4x + -2(x + -3)] 4[6x + (2 * -3 + x * -3)] = 2[4x + -2(x + -3)] 4[6x + (-6 + -3x)] = 2[4x + -2(x + -3)] Reorder the terms: 4[-6 + 6x + -3x] = 2[4x + -2(x + -3)] Combine like terms: 6x + -3x = 3x 4[-6 + 3x] = 2[4x + -2(x + -3)] [-6 * 4 + 3x * 4] = 2[4x + -2(x + -3)] [-24 + 12x] = 2[4x + -2(x + -3)] Reorder the terms: -24 + 12x = 2[4x + -2(-3 + x)] -24 + 12x = 2[4x + (-3 * -2 + x * -2)] -24 + 12x = 2[4x + (6 + -2x)] Reorder the terms: -24 + 12x = 2[6 + 4x + -2x] Combine like terms: 4x + -2x = 2x -24 + 12x = 2[6 + 2x] -24 + 12x = [6 * 2 + 2x * 2] -24 + 12x = [12 + 4x] Solving -24 + 12x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 12x + -4x = 12 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = 12 + 0 -24 + 8x = 12 Add '24' to each side of the equation. -24 + 24 + 8x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 12 + 24 8x = 12 + 24 Combine like terms: 12 + 24 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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