Question 1132528
.
<pre>

2*|x+4| - 2 = 8  ====>  (move -2 to the right, changing the sign)  ====>


2*|x+4| = 8 + 2 = 10   ====>  (divide both sides by 2)  ====>


|x+4| = {{{10/2}}} = 5


At this point you have two alternatives.


    
    EITHER  (a)  x + 4 = 5     ====>  x = 5-4 = 1.                                    <U>ANSWER</U>


    OR      (b)  -(x + 4) = 5  ====>  -x - 4 = 5  ====>  -5 - 4 = x  ====>  x = -9.    <U>ANSWER</U>


<U>Answer</U>.  The given equation has TWO SOLUTIONS  x= -9  and  x= 1
</pre>

Solved.


-------------


To read more on solving  so called &nbsp;"absolute value equations", &nbsp;look into the introductory lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/absolute-value/-Absolute-Value-equations.lesson>Absolute Value equations</A>

in this site.


When you will get an assignment to solve more complex "absolute value equations", come to this forum again - I will teach you on how to do it.