Answer:
x = -1 or x = 11
Step-by-step explanation:
[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\Examples:\\\\|3|=3,\ |102|=102,\ |0|=0,\ |0.123|=0.123\\|-3|=-(-3)=3,\ |-102|=-(-102)=102,\ |-0.123|=0.123[/tex]
[tex]3|x-5|+2=20\qquad\text{subtract 2 from both sides}\\\\3|x-5|=18\qquad\text{divide both sides by 3}\\\\|x-5|=6\iff x-5=6\ \vee\ x-5=-6\qquad\text{add 5 to both sides}\\\\x=11\ \vee\ x=-1[/tex]
