To solve for x, we need to simplify the equation by combining like terms and isolating x on one side of the equation.

First, let's combine the constants on the left side of the equation:

X + 5/4 + 3 - 2x/3 = 2x - 1/12
X + 17/4 - 2x/3 = 2x - 1/12

Next, let's get rid of the fractions by multiplying both sides of the equation by the least common multiple of the denominators, which is 12:

12(X + 17/4 - 2x/3) = 12(2x - 1/12)
12X + 51 - 8x = 24x - 1

Now, let's simplify by combining like terms:

12X - 8x - 24x = 1 - 51
-20x = -50
x = 2.5

Therefore, the solution to the equation is x = 2.5.