Question

Step 1: |x-2|+3=7
Step 2: |x-2|=7-3
Step 3: |x-2|=4

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

A) x+2=-4
B) -x-2=4
C) x+2=4
D) x-2=-4

Please help this makes no sense!!

Answer 1

after |x-2|=4
there are two options for x.

either x-2=4 or x-2=-4

Answer 2

There isnt a single answer.

Answer 3

Therefore, the only choice that includes one of the two options is the answer.