Final answer:
The solution set for the equation 8(3x - 2) ≤ 2(7x + 12) is x ≤ 4.
Step-by-step explanation:
To solve the inequality 8(3x - 2) ≤ 2(7x + 12), we can start by distributing on both sides of the equation: 24x - 16 ≤ 14x + 24. Then, we can combine like terms by subtracting 14x from both sides: 10x - 16 ≤ 24. Next, we can add 16 to both sides: 10x ≤ 40. Finally, we divide both sides by 10 to isolate x: x ≤ 4.
Therefore, the solution set for the equation is x ≤ 4.