Solve for n 2n-15=-5n+4n

$2 n - 15 = - 5 n + 4 n$

Step 1

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

$- 5 n + 4 n = 2 n - 15$

Step 2

Add $- 5 n$ and $4 n$ .

$- n = 2 n - 15$

Step 3

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

Subtract $2 n$ from both sides of the equation.

$- n - 2 n = - 15$

Subtract $2 n$ from $- n$ .

$- 3 n = - 15$

Step 4

Divide each term in $- 3 n = - 15$ by $- 3$ and simplify.

Divide each term in $- 3 n = - 15$ by $- 3$ .

$\frac{- 3 n}{- 3} = \frac{- 15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 n}{- 3} = \frac{- 15}{- 3}$

Divide $n$ by $1$ .

$n = \frac{- 15}{- 3}$

Simplify the right side.

Divide $- 15$ by $- 3$ .

$n = 5$