To solve the equation 4x + 5 = 13, we need to isolate the variable x.

First, we subtract 5 from both sides of the equation:

4x + 5 - 5 = 13 - 5

This simplifies to:

4x = 8

Next, we divide both sides of the equation by 4 to solve for x:

4x/4 = 8/4

This simplifies to:

x = 2

Therefore, the solution to the equation 4x + 5 = 13 is x = 2.