
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
Two brothers are practicing writing Chinese characters during the winter vacation. The older brother needs to write 8000 characters, while the younger brother needs to write 6000 characters. The older brother writes 100 more characters per day than the younger brother. They both finish their tasks in the same number of days. How many characters does each brother write per day? If we let the older brother write $x$ characters per day, the equation can be written as ______.

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