Question

Solve for n

5+2(n+1)=2n

Answer 1

`5+2(n+1)=2n \\\\5+2n+2=2n\\\\7+2n=2n\ \ |\ subtract\ 2n\ to\ both\ sides \\\\ 7=0 \\ \\ false`

Answer 2

5+2(n+1)=2n -- expand brackets
5+2n+1=2n -- combine like terms
6+2n=2n -- subtract 2n from both sides
6=0 , false.

Some equations don't have a solution and this is one of them, that is perfectly fine.