Solve for m 7-14m=2m-5

$7 - 14 m = 2 m - 5$

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

Subtract $2 m$ from both sides of the equation.

$7 - 14 m - 2 m = - 5$

Subtract $2 m$ from $- 14 m$ .

$7 - 16 m = - 5$

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

Subtract $7$ from both sides of the equation.

$- 16 m = - 5 - 7$

Subtract $7$ from $- 5$ .

$- 16 m = - 12$

Divide each term in $- 16 m = - 12$ by $- 16$ and simplify.

Divide each term in $- 16 m = - 12$ by $- 16$ .

$\frac{- 16 m}{- 16} = \frac{- 12}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 m}{- 16} = \frac{- 12}{- 16}$

Divide $m$ by $1$ .

$m = \frac{- 12}{- 16}$

Simplify the right side.

Cancel the common factor of $- 12$ and $- 16$ .

Factor $- 4$ out of $- 12$ .

$m = \frac{- 4 (3)}{- 16}$

Cancel the common factors.

Factor $- 4$ out of $- 16$ .

$m = \frac{- 4 \cdot 3}{- 4 \cdot 4}$

Cancel the common factor.

$m = \frac{- 4 \cdot 3}{- 4 \cdot 4}$

Rewrite the expression.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$m = 0.75$