# How do you solve #2-3abs(x-1)=-4abs(x-1)+7#?

##### 2 Answers

The solutions are

There are two possibilities

#### Explanation:

(1)

The equality turns into:

(and this is

(2)

(and this is

The solutions are

#### Explanation:

Observe that the expression inside the absolute value signs is the same in both absolute values. It is

Until you get some experience with working with expressions as if they were variables, it will help to actually do a substitution.

Our first goal is to find

Let

Substituting, we have:

Good. We've finished step 1. Now we still need to find

The two numbers whose absolute value is

**Less details looks like this:**

Solutions: