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Simplifying 3x + -2[x + -1(3x + 2) + -5] + 8 = -4(3x + -4) Reorder the terms: 3x + -2[x + -1(2 + 3x) + -5] + 8 = -4(3x + -4) 3x + -2[x + (2 * -1 + 3x * -1) + -5] + 8 = -4(3x + -4) 3x + -2[x + (-2 + -3x) + -5] + 8 = -4(3x + -4) Reorder the terms: 3x + -2[-2 + -5 + x + -3x] + 8 = -4(3x + -4) Combine like terms: -2 + -5 = -7 3x + -2[-7 + x + -3x] + 8 = -4(3x + -4) Combine like terms: x + -3x = -2x 3x + -2[-7 + -2x] + 8 = -4(3x + -4) 3x + [-7 * -2 + -2x * -2] + 8 = -4(3x + -4) 3x + [14 + 4x] + 8 = -4(3x + -4) Reorder the terms: 14 + 8 + 3x + 4x = -4(3x + -4) Combine like terms: 14 + 8 = 22 22 + 3x + 4x = -4(3x + -4) Combine like terms: 3x + 4x = 7x 22 + 7x = -4(3x + -4) Reorder the terms: 22 + 7x = -4(-4 + 3x) 22 + 7x = (-4 * -4 + 3x * -4) 22 + 7x = (16 + -12x) Solving 22 + 7x = 16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 22 + 7x + 12x = 16 + -12x + 12x Combine like terms: 7x + 12x = 19x 22 + 19x = 16 + -12x + 12x Combine like terms: -12x + 12x = 0 22 + 19x = 16 + 0 22 + 19x = 16 Add '-22' to each side of the equation. 22 + -22 + 19x = 16 + -22 Combine like terms: 22 + -22 = 0 0 + 19x = 16 + -22 19x = 16 + -22 Combine like terms: 16 + -22 = -6 19x = -6 Divide each side by '19'. x = -0.3157894737 Simplifying x = -0.3157894737
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