#1.

4(x + 3) = 2(6 + 2x)
4x + 12 = 12 + 4x
0 = 0

Would the answer be 0 or null? Could anyone explain why in either case?

#2.

3(x - 1) + 5 = 3x + 7
3x - 3 + 5 = 3x + 7
3x + 2 = 3x + 7
0 = 5

How can this be? What am I missing here?

#1:
The answer is for all x. X E R, because for every X 0=0.

#2: If you get an answer like this, it means the equation has no answer.

there is no X for which 2=7.

It's like 2x+7=2x+10

7=10. No answer.

Got it?

Oh, I see. I've had this stuff before, it's just been awhile and I couldn't remember if it was null, 0, or what. Thanks for your help. :)

#1 is true for any value of x. (i.e. any real number is a valid solution)
#2 is true for no value of x. (i.e. the problem has no solutions)

Thanks for all of the help guys! I was doing my homework today and needed to reference this thread for a section. Thanks again. :)