The minimum and maximum temperature on a cold day in lollypop town can be modeled by the equation below:

2|x − 6| + 14 = 38

what are the minimum and maximum temperatures for this day?

2|x-6| + 14 = 38
2|x - 6| = 38 - 14
2|x - 6| = 24
|x-6| = 24/2
|x-6| = 12

x - 6 = 12                   -(x - 6) = 12
x = 12 + 6                   -x + 6 = 12
x = 18                          -x = 12 - 6
                                    -x = 6
                                     x = -6

minimum = -6
maximum = 18