To find the value of \( x \) when \( f(x) = 3 \), we start by setting the function equal to 3:
\[ f(x) = x - 7 \]
We set this equal to 3:
\[ x - 7 = 3 \]
Now, we solve for \( x \):
- Add 7 to both sides:
\[ x = 3 + 7 \]
- Simplify:
\[ x = 10 \]
So the value of \( x \) when \( f(x) = 3 \) is \( x = 10 \).