To solve for x, we need to combine like terms on the left side of the equation:

2x + 6 1/5 - x + 2 4/5 = 24 2/5

Combine the 6 1/5 and 2 4/5:

2x + 6 1/5 - x + 2 4/5 = 24 2/5
2x - x + 6 1/5 + 2 4/5 = 24 2/5
x + 8 1/5 = 24 2/5

Now, we isolate x:

x + 8 1/5 = 24 2/5
x = 24 2/5 - 8 1/5
x = 16 1/5

Therefore, the solution to the equation is x = 16 1/5.