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

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Answer 1 · 2017-04-02T14:40:32

We will get two values for $x$ .

$|5x+2| = 22$

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

if

$5x+2 = 22$

$x = 4$

and if

$5x+2 = -22$

$x = -24/5$

Thus $x$ can be $4$ or $-24/5$ .

Answer 2 · 2018-08-04T01:03:38

$x=4$ and $x=-24/5$

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

$|5x+2|=22$

We have two scenarios:

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

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

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

We can divide both sides by $5$ to get

$x=4$ and $x=-24/5$

Hope this helps!

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