Question 945530
Your work shows misidentifying placement of parentheses, and this as well as other symbolism & viewing difficulties are reasons why we use the Derivative or Differentiation Rules instead of always taking the lowest level using the Difference Quotient.  You just NEED to watch all your steps VERY VERY carefully if using the Difference Quotient  (as well as if using the Differentiation Rules).


Rechecking your given expression, not precise which it really is.

Either you mean  {{{2x-2/x}}}   OR   {{{(2x-2)/x}}}   OR  {{{2(x-2)/x}}}.
Students often mishandle this, so asking now.
If I knew which you meant, I might try this on paper as a way to start help.