Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: In the triangle shown, what is the positive difference between the greatest and least possible integral values of $x$?

[asy]

defaultpen(linewidth(0.7));
pair a,b,c;
b = (1,2); c = (3,0);
draw(a--b--c--a);
label("$x$",a--b,dir(135)); label("5",b--c,dir(45)); label("6",c--a,S);
[/asy]
user