2(n+1)+1=3n-5+2(n-1)

Solution for 2(n+1)+1=3n-5+2(n-1) equation:

2(n+1)+1=3n-5+2(n-1)

We simplify the equation to the form, which is simple to understand 
2(n+1)+1=3n-5+2(n-1)

Reorder the terms in parentheses
+(+2n+2)+1=3n-5+2*(n-1)

Remove unnecessary parentheses
+2n+2+1=+3n-5+2+*(+n-1+)

Reorder the terms in parentheses
+2n+2+1=3n-5+(+2n-2)

Remove unnecessary parentheses
+2n+2+1=+3n-5+2n-2

We move all terms containing n to the left and all other terms to the right. 
+2n-3n-2n=-5-2-2-1

We simplify left and right side of the equation. 
-3n=-10

We divide both sides of the equation by -3 to get n. 
n=3.33333333333