To solve for x, we first need to simplify the left side of the equation:

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

Now, we can isolate x by subtracting 1/4 from both sides:

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

Finally, we can solve for x by multiplying both sides by -1:

x = -1/8

Therefore, the solution to the equation is x = -1/8.