
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Teams $X$ and $Y$ are competing in a tournament where each match results in a win for one team and a loss for the other. Team $X$ has won $\tfrac{3}{4}$ of its games, while team $Y$ has won $\tfrac{2}{3}$ of its games. Furthermore, team $Y$ has won $5$ more games and lost $5$ more games than team $X$. Determine how many games team $X$ has played.

Present the answer in LaTex format: \boxed{Your answer}
user