
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
The famous Chinese mathematician Hua Luogeng once said, "When numbers lack form, intuition is limited; when form lacks numbers, it is difficult to grasp." The combination of numbers and forms is an important method for solving mathematical problems. For example, the geometric interpretation of the algebraic expression $|x-2|$ is "the distance between the point corresponding to $x$ on the number line and the point corresponding to $2$." Based on the above material, please try to solve the following problem: If the minimum value of $|x+a|+|x-3|$ is $5$, then $a$ is ______.

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