Simple....
you have:
3(x+1)= -2(x-1)+6
To even begin..substitute and get rid of the parentheses...
3x+3= -2x+2+6
3x+3= -2x+8
Now you can isolate the variable....
3x+3=-2x+8
+2x +2x
5x+3=8
5x+3=8
-3 -3
5x=5
x=1
Check your answer...
3(1+1)=-2(1-1)+6
3(2)=-2(0)+6
6=0+6
6=6
You know your correct...
Thus, your answer.