To solve the equation, first simplify both sides:

(23/32 + x) - 13/32 = 27/32

Combine the like terms on the left side:

23/32 + x - 13/32 = 27/32
(23 - 13)/32 + x = 27/32
10/32 + x = 27/32
x + 10/32 = 27/32

Now, subtract 10/32 from both sides to isolate x:

x = 27/32 - 10/32
x = 17/32

Therefore, the solution to the equation (23/32 + x) - 13/32 = 27/32 is x = 17/32.