The equation 3 (AX-2) - (x + 1) = 2 (1 / 2 + x) 1) Only one solution? 2) no solution?

The equation 3 (AX-2) - (x + 1) = 2 (1 / 2 + x) 1) Only one solution? 2) no solution?

3(ax-2)-(x+1)=2(1/2+x)
3ax-6-x-1=1+2x
3(a-1)x=8
x=8/3(a-1)
(1) There is a unique solution when a ≠ 1
(2) When a = 1, there is no solution
I hope my answer can help you,