Let \( x \) be the number of games Annette's soccer team played last season. According to the problem, this season they will play 15 games, and this is 7 games fewer than 2 times the number of games they played last season. We can set up the equation as follows:
\[ 15 = 2x - 7 \]
Now, we will solve for \( x \).
- Add 7 to both sides of the equation:
\[ 15 + 7 = 2x \] \[ 22 = 2x \]
- Divide both sides by 2:
\[ x = \frac{22}{2} \] \[ x = 11 \]
Therefore, the number of games Annette's soccer team played last season is \( \boxed{11} \).