I'd say first isolate the "x"
(x+3)/3=(y+2)/2
x+3=3*(y+2)/2
x=3(y+2)/2 -3
so we get "x" equals three times "y" plus two which is then divided by two and subtracted by three.
after that I would simply divide both sides by three as shown below
x/3=( 3*(y+2)/2 -3)/3
x/3 =(y+2)/2 -1 (answer simplified)