To simplify the equation, we first need to combine like terms:

(х - 7/8) + 3 11/24 = 5 1/12

х - 7/8 + 3 11/24 = 5 1/12

Next, we need to convert the mixed numbers to improper fractions:

3 11/24 = (3*24 + 11)/24 = 83/24

5 1/12 = (5*12 + 1)/12 = 61/12

Now, the equation becomes:

х - 7/8 + 83/24 = 61/12

Next, find a common denominator to add the fractions:

х 3/3 - 7/8 3/3 + 83/24 = 61/12 * 2/2

3x - 21/24 + 83/24 = 122/24

Combine the fractions:

3x + 62/24 = 122/24

Subtract 62/24 from both sides:

3x = 60/24

Divide by 3:

x = 20/8

x = 5/2

Therefore, the solution to the equation is x = 5/2.