Question

Solve for x: −3|2x + 6| = −12
A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answer 1

First I would divide both sides by that number in front of the | |

Answer 2

You could also do |2x+6|=|2|*|x+3|=2|x+3|
and also divide both sides by 2
but it isn't needed to do at this step

Answer 3

use the definition of absolute value to come up with two different equaitons
|f(x)|=f(x) if f(x)>=0
|f(x)|=-f(x) if f(x)<0

Answer 4

we have two cases

Answer 5

Solve 2x+6=4 and solve also -(2x+6)=4

Answer 6

so x=-1 and x=-5?