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

Question

1660 views around the world

You can reuse this answer
Creative Commons License

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!