louis15 louis15
  • 22-12-2016
  • Mathematics
contestada

-2|x-4|+7=-3 how do i solve this absolute value problem

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Porshia
Porshia Porshia
  • 22-12-2016
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
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