To solve for X, we need to isolate it on one side of the equation.

First, let's simplify the right side of the equation:

2/3 x 5/6 = (2 x 5) / (3 x 6) = 10/18 = 5/9

Now, our equation becomes:

X + 1/2 = 5/9

To isolate X, we need to subtract 1/2 from both sides:

X + 1/2 - 1/2 = 5/9 - 1/2

X = 5/9 - 1/2

To add these fractions, we need a common denominator, which is 18:

X = (5/9) x (2/2) - (1/2) x (9/9)

X = 10/18 - 9/18

X = 1/18

Therefore, the solution to the equation is X = 1/18.