Here's an example of DD13's overkill though....
3X-6=7
3X+-6=7
3X+-6+6=7+6
3X/3=13/3
etc
I've mostly noticed it in the "plus negative" that for a while, Mrs. Algebra was insisting on being shown each and every time. There were other steps too that could easily be combined that she was making them spell out.
But I do believe it IS important to be able to use the algebraic process (of doing the opposite) no matter how intuitive the above problem might be (within reason of course!).
Ugh! The second and third steps are really unnecessary, and I wouldn't make a kid write those unless they were really struggling. Even on the fourth line, why not just write x? I'm sorry you've got such a difficult teacher.
