# How do you solve #abs(5x + 5) - 7 = 18#?

##### 1 Answer

There are two solutions:

#### Explanation:

Recall the definition of the absolute value of a real number:

If

If

Since absolute value of a number is evaluated differently, depending on this number's sign, let's consider two different cases:

**Case A** is when the absolute value is taken of the positive number or zero (and in this case absolute value of a positive number or zero is this number itself);

**Case B** is when the absolute value is taken of the negative number (and in this case absolute value of a negative number is its negation).

Here is the solution in each of these cases.

**Case A**:

which is equivalent to

In this case

Check:

**Case B**:

which is equivalent to

In this case

Check: