2(x+3)-3(x+1)=x+2

Solution for 2(x+3)-3(x+1)=x+2 equation:

2(x+3)-3(x+1)=x+2

We simplify the equation to the form, which is simple to understand 
2(x+3)-3(x+1)=x+2

Reorder the terms in parentheses
+(+2x+6)-3*(x+1)=x+2

Remove unnecessary parentheses
+2x+6-3+*(+x+1+)=+x+2

Reorder the terms in parentheses
+2x+6+(-3x-3)=x+2

Remove unnecessary parentheses
+2x+6-3x-3=+x+2

We move all terms containing x to the left and all other terms to the right. 
+2x-3x-1x=+2-6+3

We simplify left and right side of the equation. 
-2x=-1

We divide both sides of the equation by -2 to get x. 
x=0.5