Question 225410
<font face="Garamond" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |8x - 12| - 4\ =\ 14]


Add 4 to both sides


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |8x - 12|\ =\ 18]


Then, since


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left\{x\ \geq\ 0\ \Rightarrow\ |x|\ =\ x\cr x\  <\ 0\ \Rightarrow\ |x| =\ -x\right]



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 8x - 12\ =\ 18]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 8x - 12\ =\ -18]


Solve both equations.  Your solution set will contain two elements.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
</font>