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Simplifying 6x + -2[3 + -5(x + 2) + 2x] = 2(4x + -3) Reorder the terms: 6x + -2[3 + -5(2 + x) + 2x] = 2(4x + -3) 6x + -2[3 + (2 * -5 + x * -5) + 2x] = 2(4x + -3) 6x + -2[3 + (-10 + -5x) + 2x] = 2(4x + -3) Combine like terms: 3 + -10 = -7 6x + -2[-7 + -5x + 2x] = 2(4x + -3) Combine like terms: -5x + 2x = -3x 6x + -2[-7 + -3x] = 2(4x + -3) 6x + [-7 * -2 + -3x * -2] = 2(4x + -3) 6x + [14 + 6x] = 2(4x + -3) Reorder the terms: 14 + 6x + 6x = 2(4x + -3) Combine like terms: 6x + 6x = 12x 14 + 12x = 2(4x + -3) Reorder the terms: 14 + 12x = 2(-3 + 4x) 14 + 12x = (-3 * 2 + 4x * 2) 14 + 12x = (-6 + 8x) Solving 14 + 12x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 12x + -8x = -6 + 8x + -8x Combine like terms: 12x + -8x = 4x 14 + 4x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 4x = -6 + 0 14 + 4x = -6 Add '-14' to each side of the equation. 14 + -14 + 4x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -6 + -14 4x = -6 + -14 Combine like terms: -6 + -14 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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