To solve the equation, we can start by simplifying the left side:

(x-16)x343 = 2401

343(x-16) = 2401

Now, divide both sides by 343:

(x-16) = 2401/343

(x-16) = 7

Finally, add 16 to both sides:

x = 7 + 16

x = 23

Therefore, the solution to the equation is x = 23.