Solve the following absolute value equation for all values of x. 3|x-2|=12

x=6, x=-2

Step-by-step explanation:

First divide boths sides by 3 to make it easier and to isolate to variable. You have |x-2|=4. You know for sure that one of the values will be positive, and the other will be negative, since this is an absolute value equation. The first value will be positive. To find the first value you simply add 2 to both sides and you get x=6. You can check this by plugging it in. |6-2|=4> 4=4 To find the second value you just what would make the negative value of 4, in this case it would be negative 2. You can also find this by subtracting 4 from positive 2. Therefore, the second value of x is -2. You can check this by plugging it in. |-2-2|=4 ---> |-4|=4 ---> 4=4.

I hope this helped you!

6 meters

step-by-step explanation: