6x + 2(x-4) > 4x - 6

Simplify:

6x + 2x - 8 > 4x - 6

Combine like terms:

8x - 8 > 4x - 6

Subtract 4x from both sides:

4x - 8 > -6

Add 8 to both sides:

4x > 2

Divide by 4:

x > 1/2

Therefore, the solution to the inequality is x > 1/2.