The minimum and maximum temperature on a cold day can be modeled by the equation 2[x-6]+14=38 what are the min and max temperatures for this day?

Here are the steps to calculating the given equation:

Distribute 2 to x and 6: 2x-12+14=38
Group like terms: 2x+(-12+14)=38
Combine like terms: 2x+2=38
Subtract number on 'x' side: 2x+2-2=38-2
Simplify: 2x=36
Divide: 2x/2=36/2
Simplify: x=18
Label with correct terms: 
I cannot do this because you did not provide sufficient information, I would need to know what the difference between the two, or if 'x' stood for one particular temperature. Hope that helped enough with what you provided.