To simplify the expression, we can start by combining like terms:

2/x - 1/2 + 1/3 - 2/x - (-4)/2 + (-8)/3
= (2/x - 2/x) - 1/2 - 1 + 2 - 4/2 - 8/3
= 0 - 1/2 - 1 + 2 - 2 - 4/2 - 8/3
= -1/2 - 1 + 2 - 2 - 2 - 4/2 - 8/3
= -1/2 - 3/2 - 2 - 4 - 8/3
= -4/2 - 2 - 4 - 8/3
= -2 - 2 - 4 - 8/3
= -4 - 4 - 8/3
= -8 - 8/3
= (-24 - 8) / 3
= -32 / 3

Therefore, the final simplified expression is -32/3.