2(x+1)+3(x+2)=2(x+6)-1

Solution for 2(x+1)+3(x+2)=2(x+6)-1 equation:

2(x+1)+3(x+2)=2(x+6)-1

We simplify the equation to the form, which is simple to understand 
2(x+1)+3(x+2)=2(x+6)-1

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

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

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

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

Reorder the terms in parentheses
+2x+2+3x+6=+(+2x+12)-1

Remove unnecessary parentheses
+2x+2+3x+6=+2x+12-1

We move all terms containing x to the left and all other terms to the right. 
+2x+3x-2x=+12-1-2-6

We simplify left and right side of the equation. 
+3x=+3

We divide both sides of the equation by 3 to get x. 
x=1