1-(6-2x)/3=x-(x+3)/2
3/3-(6-2x)/3=2x/2-(x+3)/2
(3-6+2x)/3=(2x-x-3)/2
(2x-3)/3=(x-3)/2
2*(2x-3)=3*(x-3)
4x-6=3x-9
4x-3x=6-9
x=-3
1-(6-2x)/3=x-(x+3)/2
3/3-(6-2x)/3=2x/2-(x+3)/2
(3-6+2x)/3=(2x-x-3)/2
(2x-3)/3=(x-3)/2
2*(2x-3)=3*(x-3)
4x-6=3x-9
4x-3x=6-9
x=-3