Question

Solve for x: |x − 2| + 10 = 12

Answer 1

First you can add -10 on both sides so you gonna have :
 l x - 2 l = 12 - 10 ⇒ l x - 2 l = 2 now because of the absolute value you should say : 
1) x - 2 = 2 ⇒ x = 2 + 2 ⇒ x = 4 

2) x- 2 = -2 ⇒ x = -2 +2 ⇒ x = 0 
so the answer is first one :)))
i hope this is helpful 
have a nice day 

Answer 2

✯Let's solve this equation step-by-step!
✯is the question you've asked us today:
|x − 2| + 10 = 12

✯Add -10 to both sides:
|x−2|+10+−10=12+−10

✯Solve Absolute Value:
|x−2|=2

✯We know either: 
x−2=2 or x−2=−2

(Possibility 1) x−2=2

(Add 2 to both sides) x−2+2=2+2

x=4

(Possibility 2) x−2=−2

(Add 2 to both sides) x−2+2=−2+2

x=0

✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!✯