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

First, subtract 1 whole 2/3 from both sides of the equation:

-7/15x - 3 = 1 whole - 2/3
-7/15x - 3 = 5/3 - 2/3
-7/15x - 3 = 3/3
-7/15x - 3 = 1

Next, add 3 to both sides of the equation:

-7/15x = 1 + 3
-7/15x = 4

To solve for x, multiply both sides by -15/7:

(-15/7)(-7/15x) = (-15/7)(4)
x = -60/7

Therefore, x = -60/7.