I need some math homework help, algebra 2

here's the problem:
7|8-3h| = 21h - 49

so I keep getting that h = (5/2) or no solution....is that right?!

h=5/2 is correct. You don't need to say that the other answer is no solution. This particular problem just has one answer.

7 |8 - 3h| = 21h - 49
|8 - 3h| = 3h - 7
8 - 3h = 3h - 7 or 3h - 8 = 3h - 7
15 = 6h......................-8 = -7
h = 5/2........................no solution

The answer is h = 5/2.