Question

Solve for x: −3|x − 3| = −6

Answer 1

For |a|=b solve for a=b and a=-b

divide both sides by -3
|x-3|=2
solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1


B is answer

Answer 2

-3 | x - 3| =6
the value of '6' can be a negative
-3| x - 3 = -6
Lets multiply by -1 to find your answer
3 | x - 3 | = 6
×-1. × -1
--- ----

3(-1) = -3
6(-1) = -6

3(x) - 3 = 6
3(3) = 9
3(x) - 9 = 6

Change up the problem: 3(x) = 15

First solution: 5
Second solution: 1

So, therefore your answer would be: x = 1 ; x = 5 (option B.) Since that's the closest to your outcome

Good luck!