# How do you solve 2(n+1)+1=(n-5)+(n+2)?

Dec 1, 2015

No solution.

#### Explanation:

Distribute the 2 to the terms in the parentheses:

$2 \left(n + 1\right) = 2 n + 2$.

Now you have 2n+2+1=n−5+n+2.

Combine like terms and you're left with $2 n + 3 = 2 n - 3$.

Isolate terms with variable $n$ to one side (take opposite sign):

$2 n - 2 n = - 3 + 3$

$0 n = 0$

So no solution.