SOLUTION: 6∣x−2∣−15=−9∣x−2∣+15 Solve

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Question 1104448: 6∣x−2∣−15=−9∣x−2∣+15 Solve
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Let






Return r


If x-2 non-negative,



If x-2 negative,




If no mistakes, then .
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
6|x-2| - 15 = -9*|x-2| + 15  ====>

6|x-2| + 9|x-2| = 15 + 15  ====>

15|x-2| = 30  ====>

|x-2| = 2.  


The solutions are those "x" that are remoted at the distance of 2 units from the value of 2.


These solutions are  x= 0  and  x= 4.


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