Question

Below are the steps to solve an equation:

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

Answer 1

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

x + 2 = -4

-x - 2 = 4

x + 2 = 4

x - 2 = -4

Answer 2

I think the answer to this question is the last option. @phi @tkhunny @e.mccormick @ManImStumped @ohh_munoz @One098

Answer 3

@Abhisar @goformit100 @Compassionate

Answer 4

So the third one?

Answer 5

thnx

Answer 6

You were correct the first time.

| x | = 4
means either
x = 4
or
-x = 4 , which means x= -4

if you used the 3rd option
x + 2 = 4
and solve for x (add -2 to both sides) we get
x+2 -2 = 4 - 2
x +0 = 2
x=2

now test in the original
|x - 2| = 4
replace x with 2 and we get
| 2-2 | = 4 ?
|0| = 4 ? nope. that shows the 3rd option is not correct.

Answer 7

Right. I'm sorry.

Answer 8

Yeah, I found out. THANK YOU SO MUCH! and @jojokiw3 is ok. :)