# How do you solve 5(x+8) =20?

Sep 17, 2015

color(blue)(x = -4

#### Explanation:

$\textcolor{b l u e}{5} \cdot \left(x + 8\right) = 20$

$\textcolor{b l u e}{5} \cdot \left(x\right) + \textcolor{b l u e}{5} \cdot \left(8\right) = 20$

$5 x + 40 = 20$

$5 x = 20 - 40$

$5 x = - 20$

$x = - \frac{20}{5}$

color(blue)(x = -4

Aug 5, 2018

$x = - 4$

#### Explanation:

We can start by dividing both sides by $5$ to get

$x + 8 = 4$

To completely isolate $x$, we can subtract $8$ from both sides to get

$x = - 4$

There is another way of going about this, however. We could have started by distributing the $5$ on the left. We would get

$5 x + 40 = 20$, and we would subtract $40$ from both sides, and divide both sides by $5$. Either way, we would still get $x = - 4$.

Hope this helps!