2x+6/3=3x-1/2 i got 5/9, is it right?

2x+6/3=3x-1/2

2x + 2 = 3x - 1/2

2 1/2 = 5x

(2 1/2) / 5 = x

(5/2) * (1/5) = 5/10 = 1/2