To solve the inequality, we first need to distribute the 2 on the left side:

6x + 8 - 1 < 7 + 8x

Combine like terms:

6x + 7 < 7 + 8x

Subtract 6x from both sides:

7 < 7 + 2x

Subtract 7 from both sides:

0 < 2x

Divide by 2:

0 < x

Therefore, the solution to the inequality is x > 0.