To solve the equation \( 15 = x + 2 - 3 \), we can simplify the right-hand side first:
\[ x + 2 - 3 = x - 1 \]
Now the equation becomes:
\[ 15 = x - 1 \]
Next, we add 1 to both sides to isolate \( x \):
\[ 15 + 1 = x \]
\[ 16 = x \]
Thus, we find:
\[ x = 16 \]
So the correct answer is:
x = 16