To solve the equation 2x - 1/3 = 5/3, we can start by isolating the variable x.

First, let's add 1/3 to both sides of the equation:

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

This simplifies to:

2x = 6/3

Next, we can simplify the right side of the equation:

2x = 2

Finally, to solve for x, we divide both sides of the equation by 2:

(2x)/2 = 2/2

This simplifies to:

x = 1

Therefore, the solution to the equation 2x - 1/3 = 5/3 is x = 1.