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) About Me  (Show Source):
You can put this solution on YOUR website!
Let r=abs%28x-2%29

6r-15=-9r%2B15
15r=15%2B15
15r=30
r=2

Return r
abs%28x-2%29=2

If x-2 non-negative,
x-2=2
x=4

If x-2 negative,
-x%2B2=2
-x=0
x=0

If no mistakes, then system%28x=0%2Cor%2Cx=4%29 .

Answer by ikleyn(52781) About Me  (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.