
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
In the ancient classic "Introduction to Mathematics," there is a problem: A good horse travels 240 miles a day. A slow horse travels 150 miles a day. The slow horse starts 12 days earlier. How many days will it take for the good horse to catch up? In other words, if the good horse catches up with the slow horse in $x$ days, the equation based on the problem can be written as ____.

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