To solve this equation, we can combine like terms on the left side of the equation first.

3/4 + x - 4/3 - x - 5/2 = x - 1/8

Combine x terms and constant terms separately:

(3/4 - 4/3 - 5/2) + x - x = x - 1/8

To combine the fractions, find a common denominator:

(9/12 - 16/12 - 30/12) + x - x = x - 1/8

Now combine the fractions:

-37/12 + x - x = x - 1/8

Simplify by canceling out the x terms:

-37/12 = x - 1/8

To isolate x, add 1/8 to both sides:

-37/12 + 1/8 = x

To add the fractions, find a common denominator:

(-37/12 + 3/24) = x

(-37/12 + 1/4) = x

Now combine the fractions:

(-37/12 + 3/12) = x

-34/12 = x

x = -17/6

Therefore, the solution to the equation is x = -17/6.