Answer:
First: You're going to want to factor 2(3x-2). You will get 6x-4. Then you're going to want subtract 6x from both sides which will actually give you "no solution" because there will no longer be an x.
Your voltmeter and your teacher are both right, but the water analogy of electricity can only go so far. One big drawback is that, unlike with water, there is no absolute voltage. .... Wherever you put the black lead is defined as "0V". .... flowing (i.e. the circuit is broken) you will not get this change in voltage.
