`|0,5x - 2| - |x + 2/3| = 0`
`|0,5x - 2| = |x + 2/3|`
$\text{TH1:}$
`0,5x - 2 = x + 2/3`
`0,5x - x = 2/3 + 2`
`-0,5x = 8/3`
`-1/2x = 8/3`
`x = 8/3 : {-1}/2`
`x = -16/3`
_______________________
$\text{TH2:}$
`0,5x - 2 = -(x + 2/3)`
`0,5x - 2 = -x - 2/3`
`0,5x + x = -2/3 + 2`
`1,5x = 4/3`
`3/2x = 4/3`
`x = 4/3 : 3/2`
`x = 8/9`
$\text{Vậy}$ `x \in {-16/3 ; 8/9}`