To solve this equation, we first need to simplify the left side by finding a common denominator for the fractions.

2 1/6 can be written as 13/6 and 1 1/12 can be written as 13/12.

So the equation becomes:

13/6 - (x + 13/12) = 0.25

Next, we distribute the negative sign:

13/6 - x - 13/12 = 0.25

Now we simplify by finding a common denominator for the fractions on the left side:

26/12 - x - 13/12 = 0.25

Combine the fractions on the left side:

(26 - 13)/12 - x = 0.25
13/12 - x = 0.25

Next, we isolate the variable by subtracting 13/12 from both sides:

-x = 0.25 - 13/12
-x = 0.25 - 1.0833
-x = -0.8333

Finally, to solve for x, we multiply both sides by -1:

x = 0.8333

Therefore, the solution to the equation 2 1/6 - (x + 1 1/12) = 0.25 is x = 0.8333.