The solution to –4(8 – 3x) ≥ 6x – 8 is x ≥ 4. –4(8 – 3x) ≥ 6x – 8. Multiply the factors on the left side: (-4)*8 - (-4)*3x ≥ 6x – 8. -32 + 12x ≥ 6x – 8. Add 32 on both sides of the equation: 32 - 32 + 12x ≥ 6x – 8 + 32. 12x ≥ 6x + 24. Subtract 6x from both sides of the equation: 12x - 6x ≥ 6x + 24 - 6x. 6x ≥ 24. x ≥ 24/6. x ≥ 4.
