
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
Given that the quantity of soccer balls purchased is twice the quantity of basketballs purchased, the school spent $5000$ yuan on soccer balls and $4000$ yuan on basketballs. The unit price of basketballs is $30$ yuan more expensive than the unit price of soccer balls. In the equation $\frac{5000}{2x}=\frac{4000}{x}-30$, determine the meaning of $x$.

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