SOLUTION: ||2x+1|-18|=4

Algebra ->  Absolute-value -> SOLUTION: ||2x+1|-18|=4      Log On


   

Question 789421: ||2x+1|-18|=4
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way to solve any absolute value problem is to determine all possible equations with respect to the signs of the expressions. This equation has 4 possibilities:
case 1)
2x+1-18=4
2x=21
x=21/2


case 2)
-2x-1-18=4
-2x=23
x=-23/2


case 3)
2x+1-18=-4
2x=13
x=13/2


case 4)
-2x-1 -18=-4
-2x=15
x=-15/2