Question

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

Answer 1

Answer:

$x=-\frac{24}{7}\\x=0$

Step-by-step 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:

$-(7x+12)=12\\-7x-12=12\\-7x=24\\x=-\frac{24}{7}$

5. Therefore, the answer is:

$x=-\frac{24}{7}\\x=0$