
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
From the diagram below, find the positive difference in the $x$-coordinates when lines $p$ and $q$ reach $y = 10.$
```
p passes through (0,3) and (2,0).
q passes through (0,7) and (5,0).
```

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