Question

3. (02.03 MC)

Answer 1

Answer:

the 2 solutions are $x=2$ and $x=-10$

Step-by-step explanation:

absolute value bars are tricky, they make whatever is inside positive regardless of if it is positive or negative

basically, |x|=|-x|

or |-3|=|3|=3

so one way to solve this is to solve the 2 cases: one where it is positive and one where it is negative

solve these 2 cases:

case1: positive: 3x+12=+18

case2: negative: 3x+12=-18

case1:

$3x+12=18$

minus 12 both sides

$3x=6$

divide both sides by 3

$x=2$ is one solution

case2:

$3x+12=-18$

minus 12 both sides

$3x=-30$

divide both sides by 3

$x=-10$ is the other solution

the 2 solutions are $x=2$ and $x=-10$

Answer 2

The answer is x = 2.