Solve `|3x-2|=xdot`

Explanation

|3x-2|=x
Case (i)
When `3x -2 ge 0 or x ge 2//3`
For which we have 2-3x= x or x=1
(ii) Case ,
When `3x-2 lt 0 or x lt 2//3`
For which we have `2-3x = x or x = 1//2`
Hence , solution set is { 1/2 , 1}