There isn’t a valid answer to the question.

Ignore the numbers, and just think about this:
Is there a number that you can add 2 to, that would equal the same about as if you subtracted 2 from it?
The answer is no.

So the person, who is pretending to be smart, just did a bunch of fake math.
Also √4 = 2, so the “answer” they have is just them trying to re-write the question x + 2 = x - 2.

Almost everything is wrong in his answer.

The correct answer is, it’s unsolvable.

X + 2 = X - 2

X - X = - 2 - 2

0 = - 4

Explanation: How did they get from

x + 2 = x - 2

to

(x+2)(x-2)=0?

That’s not a valid step.