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Simplifying 5 + 2(x + -4) = 2[5 + -3(x + 2)] Reorder the terms: 5 + 2(-4 + x) = 2[5 + -3(x + 2)] 5 + (-4 * 2 + x * 2) = 2[5 + -3(x + 2)] 5 + (-8 + 2x) = 2[5 + -3(x + 2)] Combine like terms: 5 + -8 = -3 -3 + 2x = 2[5 + -3(x + 2)] Reorder the terms: -3 + 2x = 2[5 + -3(2 + x)] -3 + 2x = 2[5 + (2 * -3 + x * -3)] -3 + 2x = 2[5 + (-6 + -3x)] Combine like terms: 5 + -6 = -1 -3 + 2x = 2[-1 + -3x] -3 + 2x = [-1 * 2 + -3x * 2] -3 + 2x = [-2 + -6x] Solving -3 + 2x = -2 + -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. -3 + 2x + 6x = -2 + -6x + 6x Combine like terms: 2x + 6x = 8x -3 + 8x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 8x = -2 + 0 -3 + 8x = -2 Add '3' to each side of the equation. -3 + 3 + 8x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -2 + 3 8x = -2 + 3 Combine like terms: -2 + 3 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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