|3x|+x=2

solve for x.

4 answers

plz
you suck
i hate you
so, since you've been stewing and hating for an hour or so, have you done anything at all to solve this simple problem?

Hint: Recall the definition of |x|.
|x| = x if x >= 0
|x| = -x if x < 0

So, you have two problems to solve.
#1. 3x >= 0
|3x|+x=2
3x + x = 2
x = 1/2

#2. 3x < 0
|3x|+x=2
-(3x)+x = 2
-2x = 2
x = -1