Solve for n 4n-1=6n+8-8n+15

$4 n - 1 = 6 n + 8 - 8 n + 15$

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

$6 n + 8 - 8 n + 15 = 4 n - 1$

Simplify $6 n + 8 - 8 n + 15$ .

Subtract $8 n$ from $6 n$ .

$- 2 n + 8 + 15 = 4 n - 1$

Add $8$ and $15$ .

$- 2 n + 23 = 4 n - 1$

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

Subtract $4 n$ from both sides of the equation.

$- 2 n + 23 - 4 n = - 1$

Subtract $4 n$ from $- 2 n$ .

$- 6 n + 23 = - 1$

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

Subtract $23$ from both sides of the equation.

$- 6 n = - 1 - 23$

Subtract $23$ from $- 1$ .

$- 6 n = - 24$

Divide each term in $- 6 n = - 24$ by $- 6$ and simplify.

Divide each term in $- 6 n = - 24$ by $- 6$ .

$\frac{- 6 n}{- 6} = \frac{- 24}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 n}{- 6} = \frac{- 24}{- 6}$

Divide $n$ by $1$ .

$n = \frac{- 24}{- 6}$

Simplify the right side.

Divide $- 24$ by $- 6$ .

$n = 4$