To solve this equation, we need to first distribute the 3/5 to both terms in the parentheses:

3/5 7/9x - 3/5 1/3 = x - 2 1/3
21/45x - 1/15 = x - 2 1/3

Next, we need to isolate the variable x on one side of the equation. Let's start by getting rid of the fractions by multiplying all terms by the least common multiple of the denominators, which is 45:

45(21/45x) - 45(1/15) = 45(x) - 45(2 1/3)
21x - 3 = 45x - 105

Now, let's move all the terms involving x to one side of the equation:

21x - 3 = 45x - 105
21x - 45x = -105 + 3
-24x = -102

Finally, divide by -24 to solve for x:

x = -102 / -24
x = 17/4

Therefore, the solution to the equation is x = 17/4.