# How do you solve 4 - m/2 = 10?

Apr 5, 2016

$m = - 12$

#### Explanation:

The equation is:

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

We will multiply the whole equation by $2$:

$4 \cdot 2 - \frac{m}{2} \cdot 2 = 10 \cdot 2$

$8 - m = 20$

Now, subtracting $8$ from both sides:

$8 - 8 - m = 20 - 8$

$- m = 12$

$m = - 12$

Apr 5, 2016

$m = - 12$

#### Explanation:

color(blue)(4-m/2=10

Subtract $4$ both sides

$\rightarrow \cancel{4} - \frac{m}{2} \cancel{- 4} = 10 - 4$

$\rightarrow - \frac{m}{2} = 6$

Multiply both sides by $2$

$\rightarrow - \frac{m}{\cancel{2}} \cdot \cancel{2} = 6 \cdot 2$

$\rightarrow - m = 12$

color(green)(rArrm=-12

Check

$4 - \frac{- 12}{2} = 10$

$4 + \frac{12}{2} = 10$

$4 + 6 = 10$

$10 = 10$

Correct!