HI EVERYONE!!
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

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

Question

HI EVERYONE!! 
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

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

michele_laino · Answer

please you have to consider two distinct cases, namely:
$$x-2\ge 0, x-2=4$$
and:
$$x-2<0,-x+2=4$$

anonymous · Answer

what is your choice?

anonymous · Answer

just open $$\left| x-2 \right|$$

michele_laino · Answer

please I rewrite:
case 1) 
$$x-2\ge 0$$
then your equation can be rewritten as below:
$$x-2=4$$
case 2) $$x-2< 0$$
then your equation can be rewritten as below:
$$-x+2=4$$

anonymous · Answer

exactly

michele_laino · Answer

@M_A  thanks!

anonymous · Answer

@kelliegirl33 @Michele_Laino @M_A Thank you all for your time and efforts.

anonymous · Answer

its either :
(x - 2) = 4
OR
-(x - 2) = 4

michele_laino · Answer

@extremearianna  thank you!

anonymous · Answer

@kelliegirl33  what happened to the other comment? I thought it might have been D

michele_laino · Answer

your answer is D

anonymous · Answer

Thank you very much! I will fan you also :) 
@Michele_Laino

michele_laino · Answer

Thank you again!