Subtract.

x+4x-1/3x - 2x+2/3x

To subtract the given expression:

Step 1: Simplify the expressions individually.
- For x + 4x, combine the like terms: 5x.
- For -1/3x - 2x + 2/3x, combine the like terms: -1/3x - 2x + 2/3x = -1/3x - 2x + 2/3x = (-1/3 + 2/3)x - 2x = (1/3)x - 2x.

Step 2: Combine the simplified expressions.
Now, the expression becomes: 5x + (1/3)x - 2x.
Combine the x terms: 5x + (1/3)x - 2x = (5 + 1/3 - 2)x = (15/3 + 1/3 - 6/3)x = (16/3)x.

Therefore, the simplified expression is (16/3)x.