# How do you solve 5(x + 4) = 10?

Apr 5, 2016

$x = - 2$

#### Explanation:

color(blue)(5(x+4)=10

Use distributive property

color(brown)(a(b+c)=ab+ac

$\rightarrow 5 x + 20 = 10$

Subtract both sides by $20$

$\rightarrow 5 x + 20 - 20 = 10 - 20$

$\rightarrow 5 x = - 10$

Divide both sides by $5$

$\rightarrow \frac{{\cancel{5}}^{1} x}{\cancel{5}} ^ 1 = - \frac{10}{5}$

color(green)(rArrx=-2

Check

$5 \left(- 2 + 4\right) = 10$

$5 \left(2\right) = 10$

$10 = 10$

Correct!