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

2 Answers
Apr 2, 2017

Answer:

We will get two values for #x#.

Explanation:

#|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#.

Aug 4, 2018

Answer:

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

Explanation:

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!