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Simplifying 0.5(2x + -4) = 3(x + 2) + -3x Reorder the terms: 0.5(-4 + 2x) = 3(x + 2) + -3x (-4 * 0.5 + 2x * 0.5) = 3(x + 2) + -3x (-2 + 1x) = 3(x + 2) + -3x Reorder the terms: -2 + 1x = 3(2 + x) + -3x -2 + 1x = (2 * 3 + x * 3) + -3x -2 + 1x = (6 + 3x) + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Solving -2 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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