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

I think its the second one.

Answer 1

after the 3rd step we open the mod value
when we open the mod value it gives us 2 equtions-
|x-5|=3
+(x-5)=3 and -(x-5)=3
x+5=3 5-x=3