Solve for m -5n=4m+8

$- 5 n = 4 m + 8$

Step 1

Rewrite the equation as $4 m + 8 = - 5 n$ .

$4 m + 8 = - 5 n$

Step 2

Subtract $8$ from both sides of the equation.

$4 m = - 5 n - 8$

Step 3

Divide each term in $4 m = - 5 n - 8$ by $4$ and simplify.

Divide each term in $4 m = - 5 n - 8$ by $4$ .

$\frac{4 m}{4} = \frac{- 5 n}{4} + \frac{- 8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} = \frac{- 5 n}{4} + \frac{- 8}{4}$

Divide $m$ by $1$ .

$m = \frac{- 5 n}{4} + \frac{- 8}{4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$m = - \frac{(5) n}{4} + \frac{- 8}{4}$

Divide $- 8$ by $4$ .

$m = - \frac{5 n}{4} - 2$