Answer:
Conjecture: For every number x, the result of the is 2x
Explanation:
First Number: 8
Multiply by 88:

Add 88:

Divide by 44:

Subtract 2:

Second: 10
Multiply by 88:

Add 88:

Divide by 44:

Subtract 2:

Third: 5
Multiply by 88:

Add 88:

Divide by 44:

Subtract 2:

Fourth: 2
Multiply by 88:

Add 88:

Divide by 44:

Subtract 2:

On a general terms:
Let the number be x.
Multiply by 88:

Add 88:

Divide by 44:

Subtract 2:

Notice that for every input x, the result is 2x