To solve for x, we need to isolate x on one side of the equation.

First, we can subtract 13 from both sides:

4x - 13 = 0 - 13

4x - 13 = -13

Next, we can add 13 to both sides:

4x - 13 + 13 = -13 + 13

4x = 0

Finally, we can divide both sides by 4:

4x/4 = 0/4

x = 0

Therefore, the solution to the equation 4x : 13 = 0 is x = 0.