To solve this equation, first distribute the negative sign in front of the parentheses:

8 16/27 - x + 2 17/27 = 8 5/27

Combine like terms:

10 33/27 - x = 8 5/27

Convert the mixed numbers to improper fractions:

(1027 + 33)/27 - x = (827 + 5)/27

(270 + 33)/27 - x = (216 + 5)/27

303/27 - x = 221/27

Now, subtract 303/27 from both sides:

-x = 221/27 - 303/27

-x = -82/27

To solve for x, multiply both sides by -1:

x = 82/27

Therefore, the solution to the equation is x = 82/27.