To solve the equation 2x + (-1/4) = 1/2, we can start by getting rid of the fraction by multiplying every term by 4:

4 * (2x) + 4 * (-1/4) = 4 * (1/2)

This simplifies to:

8x - 1 = 2

Next, we can isolate the variable x by adding 1 to both sides of the equation:

8x - 1 + 1 = 2 + 1

This simplifies to:

8x = 3

Finally, we can solve for x by dividing both sides of the equation by 8:

(8x)/8 = 3/8

This simplifies to:

x = 3/8

Therefore, the solution to the equation 2x + (-1/4) = 1/2 is x = 3/8.