Answer:
[tex]x=-\frac{24}{7}\\x=0[/tex]
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:
[tex]7x+12=12\\7x=12-12\\x=0[/tex]
4. Now, you must solve thie negative case as you can see below:
[tex]-(7x+12)=12\\-7x-12=12\\-7x=24\\x=-\frac{24}{7}[/tex]
5. Therefore, the answer is:
[tex]x=-\frac{24}{7}\\x=0[/tex]
