Solve for n -3+n=6n+22

$- 3 + n = 6 n + 22$

Step 1

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

Subtract $6 n$ from both sides of the equation.

$- 3 + n - 6 n = 22$

Subtract $6 n$ from $n$ .

$- 3 - 5 n = 22$

Step 2

Move all terms not containing $n$ to the right side of the equation.

Add $3$ to both sides of the equation.

$- 5 n = 22 + 3$

Add $22$ and $3$ .

$- 5 n = 25$

Step 3

Divide each term in $- 5 n = 25$ by $- 5$ and simplify.

Divide each term in $- 5 n = 25$ by $- 5$ .

$\frac{- 5 n}{- 5} = \frac{25}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 n}{- 5} = \frac{25}{- 5}$

Divide $n$ by $1$ .

$n = \frac{25}{- 5}$

Simplify the right side.

Divide $25$ by $- 5$ .

$n = - 5$