# How do you solve #abs(x-4)=abs(3x)#?

##### 1 Answer

Nov 28, 2016

Please see the explanation.

#### Explanation:

The

The

Therefore, the original equation has 3 different definitions corresponding to the 3 different domains:

The first doman:

The second domain:

The third domain:

No solution.

check x = 1 and x = -2

|1 - 4| = |3(1)|

|-2 -4| = |3(-2)|

3 = 3

6 = 6

This checks.

The answers are