Solve for n -9n-10=5n+8+10

$- 9 n - 10 = 5 n + 8 + 10$

Step 1

Add $8$ and $10$ .

$- 9 n - 10 = 5 n + 18$

Step 2

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

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

$- 9 n - 10 - 5 n = 18$

Subtract $5 n$ from $- 9 n$ .

$- 14 n - 10 = 18$

Step 3

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

Add $10$ to both sides of the equation.

$- 14 n = 18 + 10$

Add $18$ and $10$ .

$- 14 n = 28$

Step 4

Divide each term in $- 14 n = 28$ by $- 14$ and simplify.

Divide each term in $- 14 n = 28$ by $- 14$ .

$\frac{- 14 n}{- 14} = \frac{28}{- 14}$

Simplify the left side.

Cancel the common factor of $- 14$ .

Cancel the common factor.

$\frac{- 14 n}{- 14} = \frac{28}{- 14}$

Divide $n$ by $1$ .

$n = \frac{28}{- 14}$

Simplify the right side.

Divide $28$ by $- 14$ .

$n = - 2$