Solve for m -3(m-2n)=5m

$- 3 (m - 2 n) = 5 m$

Simplify $- 3 (m - 2 n)$ .

Start simplifying.

$0 + 0 - 3 (m - 2 n) = 5 m$

Simplify by adding zeros.

$- 3 (m - 2 n) = 5 m$

Apply the distributive property.

$- 3 m - 3 (- 2 n) = 5 m$

Multiply $- 2$ by $- 3$ .

$- 3 m + 6 n = 5 m$

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

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

$- 3 m + 6 n - 5 m = 0$

Subtract $5 m$ from $- 3 m$ .

$- 8 m + 6 n = 0$

Subtract $6 n$ from both sides of the equation.

$- 8 m = - 6 n$

Divide each term in $- 8 m = - 6 n$ by $- 8$ and simplify.

Divide each term in $- 8 m = - 6 n$ by $- 8$ .

$\frac{- 8 m}{- 8} = \frac{- 6 n}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 m}{- 8} = \frac{- 6 n}{- 8}$

Divide $m$ by $1$ .

$m = \frac{- 6 n}{- 8}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 8$ .

Factor $- 2$ out of $- 6 n$ .

$m = \frac{- 2 (3 n)}{- 8}$

Cancel the common factors.

Factor $- 2$ out of $- 8$ .

$m = \frac{- 2 (3 n)}{- 2 (4)}$

Cancel the common factor.

$m = \frac{- 2 (3 n)}{- 2 \cdot 4}$

Rewrite the expression.

$m = \frac{3 n}{4}$