Solve for m -7+4m=8+4m+5m

$- 7 + 4 m = 8 + 4 m + 5 m$

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

$8 + 4 m + 5 m = - 7 + 4 m$

Add $4 m$ and $5 m$ .

$8 + 9 m = - 7 + 4 m$

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

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

$8 + 9 m - 4 m = - 7$

Subtract $4 m$ from $9 m$ .

$8 + 5 m = - 7$

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

Subtract $8$ from both sides of the equation.

$5 m = - 7 - 8$

Subtract $8$ from $- 7$ .

$5 m = - 15$

Divide each term in $5 m = - 15$ by $5$ and simplify.

Divide each term in $5 m = - 15$ by $5$ .

$\frac{5 m}{5} = \frac{- 15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m}{5} = \frac{- 15}{5}$

Divide $m$ by $1$ .

$m = \frac{- 15}{5}$

Simplify the right side.

Divide $- 15$ by $5$ .

$m = - 3$