SOLUTION: 3|x+6|=9x-6

Algebra ->  Absolute-value -> SOLUTION: 3|x+6|=9x-6      Log On


   

Question 339099: 3|x+6|=9x-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two possible solutions:
3%28x%2B6%29=9x-6 and 3%28-%28x%2B6%29%29=9x-6
3x%2B18=9x-6 and 3x%2B18=-9x%2B6
-6x=-24 and 12x=-12
x=4 and x=-1
Verify the solutions:
x=4
3%2Aabs%284%2B6%29=9%284%29-6
3%2Aabs%2810%29=36-6
30=30
True.
.
.
.
x=-1
3%2Aabs%28-1%2B6%29=9%28-1%29-6
3%2Aabs%285%29=-9-6
15=-15
False.
.
.
.
One solution, x=4