To solve this equation, we first need to simplify the left side by distributing the negative sign:

6 2/3 - (x + 0.25) = 2 1/6

6 2/3 - x - 0.25 = 2 1/6

Next, we convert all the fractions to improper fractions:

20/3 - x - 1/4 = 13/6

Now, let's combine like terms:

20/3 - 1/4 - x = 13/6

To add 20/3 and -1/4, we need a common denominator, which is 12:

(80/12 - 3/12)/ 12 - x = 13/6

(77/12)/ 12 - x = 13/6

Now, simplify the fractions:

77/12 - x = 13/6

To get rid of the fractions, multiply both sides by 12:

12(77/12 - x) = 12(13/6)

77 - 12x = 26

Now, solve for x:

-12x = -51

x = 51/12

x = 4.25

Therefore, the solution to the equation is x = 4.25.