Solve for n -6+5n=2n+n

$- 6 + 5 n = 2 n + n$

Since $n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 n + n = - 6 + 5 n$

Add $2 n$ and $n$ .

$3 n = - 6 + 5 n$

Move all terms containing $n$ to the left side of the equation.

Subtract $5 n$ from both sides of the equation.

$3 n - 5 n = - 6$

Subtract $5 n$ from $3 n$ .

$- 2 n = - 6$

Divide each term in $- 2 n = - 6$ by $- 2$ and simplify.

Divide each term in $- 2 n = - 6$ by $- 2$ .

$\frac{- 2 n}{- 2} = \frac{- 6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 n}{- 2} = \frac{- 6}{- 2}$

Divide $n$ by $1$ .

$n = \frac{- 6}{- 2}$

Simplify the right side.

Divide $- 6$ by $- 2$ .

$n = 3$