# How do you solve \frac { m } { 4} - 5= \frac { 2m } { 4} - 10?

Nov 29, 2017

$m = 20$

#### Explanation:

$\setminus \frac{m}{4} - 5 = \setminus \frac{2 m}{4} - 10$

Eliminate the fractions by multiplying both sides by $4$:

$4 \left(\setminus \frac{m}{\cancel{4}} - 5\right) = 4 \left(\setminus \frac{2 m}{\cancel{4}} - 10\right)$

$\setminus \rightarrow m - 20 = 2 m - 40$

Subtract $m$ from both sides:

$- 20 = m - 40$

Add $40$ to both sides:

$m = 20$