Let's solve the inequality step by step:
5(4x-8) - 2 > 12x - 3420x - 40 - 2 > 12x - 3420x - 42 > 12x - 348x > 8x > 1
Therefore, the solution to the inequality is x > 1.
Let's solve the inequality step by step:
5(4x-8) - 2 > 12x - 34
20x - 40 - 2 > 12x - 34
20x - 42 > 12x - 34
8x > 8
x > 1
Therefore, the solution to the inequality is x > 1.