How do you solve |x+3|=3x+1?

1 Answer
Sep 6, 2016

The solution set is {1}.

Explanation:

Case 1: The absolute value is positive

x+3=3x+1

2x=2

x=1

Case 2: The absolute value is negative

(x+3)=3x+1

x3=3x+1

31=4x

4=4x

x=1

However, checking, you will find x=1 is extraneous.

Hence, the solution set is {1}.

Hopefully this helps!