Question

Below are the steps to solve an equation:

Step 1: |x − 5| + 2 = 5
Step 2: |x − 5| = 5 − 2
Step 3: |x − 5| = 3

Which of the following is a correct next step to solve the equation?

x + 5 = −3
−x − 5 = 3
x − 5 = −3
x + 5 = 3

Answer 1

x-5=-3

Explanation:

|x-5|+2=5

|x-5|=5-2

|x-5|=3

x-5=±3

so x-5=-3 is a correct step.