.
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| = = 5
At this point you have two alternatives.
EITHER (a) x + 4 = 5 ====> x = 5-4 = 1. ANSWER
OR (b) -(x + 4) = 5 ====> -x - 4 = 5 ====> -5 - 4 = x ====> x = -9. ANSWER
Answer. The given equation has TWO SOLUTIONS x= -9 and x= 1
Solved.
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To read more on solving so called "absolute value equations", look into the introductory lesson
- Absolute Value equations
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.