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

First, distribute the 1/3 to the terms inside the parentheses:

2x/3 - 1/3 = x - 5

Next, get rid of the fraction by multiplying all terms by 3:

3(2x/3) - 3(1/3) = 3(x) - 3(5)

2x - 1 = 3x - 15

Now, we want to isolate x on one side of the equation. Let's move all terms with x to one side by subtracting 2x from both sides:

-1 = x - 15

Add 15 to both sides to isolate x:

14 = x

Therefore, the solution to the equation (0, 2x - 1) : 1/3 = x - 5 is x = 14.