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

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

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

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

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

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

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

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

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

We simplify left and right side of the equation. 
n=0

0=0

This equation is an identity, so all real numbers are solutions.