Which of the following is the solution to |7x+12|=12

Question

asked Sep 19, 2020 130k views

2 Answers

Carsten Cors · Answer 1 · 2020-09-25T04:37:33+0000

Answer:

$x=-(24)/(7)\\x=0$

Explanation:

1. You must clear the absolute value bars.

2. You have two cases: a positive case and a negative case.

3. First, you can solve the positive case as following:

$7x+12=12\\7x=12-12\\x=0$

4. Now, you must solve thie negative case as you can see below:

$-(7x+12)=12\\-7x-12=12\\-7x=24\\x=-(24)/(7)$

5. Therefore, the answer is:

$x=-(24)/(7)\\x=0$