# How do you solve abs(5x+2)-4=18?

Apr 2, 2017

We will get two values for $x$.

#### Explanation:

$| 5 x + 2 | = 22$

Now, $5 x + 2$ can be both $- 22$ and $+ 22$

if

$5 x + 2 = 22$

$x = 4$

and if

$5 x + 2 = - 22$

$x = - \frac{24}{5}$

Thus $x$ can be $4$ or $- \frac{24}{5}$.

Aug 4, 2018

$x = 4$ and $x = - \frac{24}{5}$

#### Explanation:

We can start by adding $4$ to both sides to get

$| 5 x + 2 | = 22$

We have two scenarios:

$5 x + 2 = 22$ and $5 x + 2 = - 22$

For both, we can subtract $2$ from both sides to get

$5 x = 20$ and $5 x = - 24$

We can divide both sides by $5$ to get

$x = 4$ and $x = - \frac{24}{5}$

Hope this helps!