3x-8/x+7>8.

Sure, let's solve the inequality step by step:

1. First, let's subtract 8 from both sides of the inequality to isolate the terms with x on one side:

   3x - 8 - 8 > 8 - 8

   This simplifies to:

   3x - 16 > 0

2. Next, let's add 16 to both sides of the inequality to isolate the term with x:

   3x > 16

3. Finally, let's divide both sides of the inequality by 3 to solve for x:

   x > 16/3

So, the solution to the inequality 3x - 8 > 8 is x > 16/3.