To solve for x, we first need to simplify the equation:

16/27 + (x - 2 17/27) = 30 5/27

Convert all mixed numbers to improper fractions:

16/27 + (x - 57/27) = 135/27

Now combine like terms:

16/27 + x - 57/27 = 135/27

Combine the fractions:

(16 - 57)/27 + x = 135/27

-41/27 + x = 135/27

Add 41/27 to both sides to isolate x:

x = 135/27 + 41/27

x = 176/27

Therefore, x = 176/27 or approximately 6.52.