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Simplifying 3 + -2[3x + -2(x + -3)] + 9 = 2(3x + -8) Reorder the terms: 3 + -2[3x + -2(-3 + x)] + 9 = 2(3x + -8) 3 + -2[3x + (-3 * -2 + x * -2)] + 9 = 2(3x + -8) 3 + -2[3x + (6 + -2x)] + 9 = 2(3x + -8) Reorder the terms: 3 + -2[6 + 3x + -2x] + 9 = 2(3x + -8) Combine like terms: 3x + -2x = 1x 3 + -2[6 + 1x] + 9 = 2(3x + -8) 3 + [6 * -2 + 1x * -2] + 9 = 2(3x + -8) 3 + [-12 + -2x] + 9 = 2(3x + -8) Reorder the terms: 3 + -12 + 9 + -2x = 2(3x + -8) Combine like terms: 3 + -12 = -9 -9 + 9 + -2x = 2(3x + -8) Combine like terms: -9 + 9 = 0 0 + -2x = 2(3x + -8) -2x = 2(3x + -8) Reorder the terms: -2x = 2(-8 + 3x) -2x = (-8 * 2 + 3x * 2) -2x = (-16 + 6x) Solving -2x = -16 + 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. -2x + -6x = -16 + 6x + -6x Combine like terms: -2x + -6x = -8x -8x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -8x = -16 + 0 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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