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

##### 1 Answer

#### Explanation:

We have two absolute conditions, so we must write **four** different equations without the absolute value symbols and solve for

Your original equation is

So these equations would be

**(1): **

**(2): **

**(3): **

**(4): **

Solve **Equation 1**:

This is a possible solution, which we will check later.

Solve **Equation 2**.

This is a possible solution, which we will check later.

Solve **Equation 3**.

This is a possible solution, which we will check later.

Solve **Equation 4**.

This is a possible solution, which we will check later.

**Check Solutions 1 and 2**

If

**Check Solution 3**

If

This is an impossible result.

**Check Solution 4**

If

This is an impossible result.

The only solution is