To solve this equation, we first need to find a common denominator for all the fractions involved. In this case, the common denominator is 20.

So, the equation becomes:

(32/5) - (20x/4) - (55/20) = 11/12

Simplify the equation:

(32/5) - (5x) - (11/4) = 11/12

Now, we can combine the fractions:

(32/5) - (11/4) = 11/12 + 5x

To eliminate the fractions, we can multiply all terms by the common denominator of 60:

60 (32/5) - 60 (11/4) = 60 (11/12) + 60 5x

This gives us:

192 - 165 = 55 + 300x

27 = 55 + 300x

Subtract 55 from both sides:

-28 = 300x

Divide by 300:

x = -28/300

Simplify the fraction:

x = -7/75

So, the solution to the equation is x = -7/75.