why is it when my multiply the 12 to get it to the other side that the equation becomes unbalanced; why does doing the inverse not maintain the balance?:

**6 = 12 / 2**

6 * 12 = 1/2[is a half even the correct product if the 12 goes to the other side?]

6 * 12 = 1/2

**72 = 1/2**??

[I know the equation is fine as it is, I just don't understand why I can't just move the 12 to the other side; what's stopping it?]

I also don't understand whether I should be multiplying; does the multiplication sign belong to the 2 or 7, or both, or neither?

Also why does it seem to work for multiplication, addition and subtraction but not division:

6 = 3 * 2

6/3 = 2

6= 1 + 5

1) 6-1 = 5

2) 6-5=1

6 = 10 - 4

1) 6-10 = -4

2) 6+4=10

I am very appreciative of your patience and time whilst you read this. I again apologise for the messiness and confusion.