Answer:
[tex]x=-\frac{24}{7}, x=0[/tex]
Step-by-step explanation:
|7x+12|=12
If |u| = a, a > 0, then u = a or u = -a.
[tex]7x+12=12 \text { or } 7x+12=-12[/tex]
Solve for 'x' on both equations:
Equation One:
[tex]7x+12=12\\\\7x+12-12=12-12\\\\7x=0\\\\7x/7=0/7\\\\\boxed{x=0}[/tex]
Equation 2:
[tex]7x+12=-12\\\\7x+12-12=-12-12\\\\7x=-24\\\\7x/7=-24/7\\\\\boxed{x=-\frac{24}{7}}[/tex]
Therefore:
[tex]|7x+12|=12\\\\\boxed{x=-\frac{24}{7}, x=0}[/tex]
