Let's solve the equation step by step:

6(2/3x - 1) + (-2x - 3) = 2(x - 3)

First, distribute the 6 to the terms inside the parentheses:

4x - 6 + (-2x - 3) = 2x - 6

Next, combine like terms:

4x - 6 - 2x - 3 = 2x - 6

2x - 9 = 2x - 6

Now, subtract 2x from both sides:

2x - 2x - 9 = 2x - 2x - 6

-9 = -6

Since -9 does not equal -6, there is no solution to this equation.