Solve for m -5n=13-3m

$- 5 n = 13 - 3 m$

Step 1

Rewrite the equation as $13 - 3 m = - 5 n$ .

$13 - 3 m = - 5 n$

Step 2

Subtract $13$ from both sides of the equation.

$- 3 m = - 5 n - 13$

Step 3

Divide each term in $- 3 m = - 5 n - 13$ by $- 3$ and simplify.

Divide each term in $- 3 m = - 5 n - 13$ by $- 3$ .

$\frac{- 3 m}{- 3} = \frac{- 5 n}{- 3} + \frac{- 13}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 m}{- 3} = \frac{- 5 n}{- 3} + \frac{- 13}{- 3}$

Divide $m$ by $1$ .

$m = \frac{- 5 n}{- 3} + \frac{- 13}{- 3}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$m = \frac{(5) n}{3} + \frac{- 13}{- 3}$

Dividing two negative values results in a positive value.

$m = \frac{5 n}{3} + \frac{13}{3}$