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

First, let's get rid of the fraction on the left side by multiplying both sides of the equation by the denominator of the fraction, which is 8:

8(X - 7/8) = 8(13/12)

This simplifies to:

8X - 7 = 13/12 * 8

8X - 7 = 104/12

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

8X - 7 = 26/3

Now, let's isolate the X term by adding 7 to both sides of the equation:

8X - 7 + 7 = 26/3 + 7

This simplifies to:

8X = 26/3 + 21/3

8X = 47/3

Finally, divide both sides of the equation by 8 to solve for X:

(8X)/8 = (47/3)/8

X = 47/3 * 1/8

X = 47/24

Therefore, X = 47/24.