Hi Seth,
Let's try to decrease your confusion.
The first thing you need to do is distribute the number in front of the parentheses over the stuff inside the parentheses:
2x - 12x -15 = -7x + 6x + 8
Now combine like terms:
-10x - 15 = -x + 8
Now add 10x to each side
-15 = 9x + 8
Now subtract 8 from each side
-23 = 9x
Now divide both sides by 9:
-23/9 = x
Dan