Question

The solution of 3|x - 5| + 2 = 20

I need two answers

Ex: # or #

Answer 1

x = -1 or x = 11

Explanation:

`|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`

`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`