To subtract \( x \) from both sides of the equation \( x = x + 2 - x \), we start with the equation:
\[ x = x + 2 - x \]
Now, we subtract \( x \) from both sides:
\[ x - x = (x + 2 - x) - x \]
This simplifies to:
\[ 0 = 2 - x \]
So the rewritten equation is:
\[ 0 = 2 - x \] or equivalently \( x = 2 \).