To solve the equation, we need to isolate x.

11/18 - x = -4 5/12

First, let's convert the mixed number -4 5/12 to an improper fraction:

-4 5/12 = -4 * 12 + 5 / 12 = -48 + 5 = -43 / 12

Now, the equation becomes:

11/18 - x = -43/12

To get rid of the fractions, we can multiply everything by 36 (the least common denominator of 18 and 12):

36 11/18 - 36x = 36 -43/12
22 - 36x = -129

Next, solve for x:

-36x = -129 - 22
-36x = -151
x = -151 / -36
x = 151 / 36

Therefore, the solution to the equation is:

x = 151 / 36