Properties of the floor function for $a\left \lfloor{\frac{x+b}{c}}\right \rfloor$

Is there a way to split the following floor function setup into two separate terms with the x in one term and the c in another term? Such as:

$$a\left \lfloor{\frac{x+b}{c}}\right \rfloor$$ = $$a\left \lfloor{\frac{x}{c}}\right \rfloor + f(b)$$

Where $$f(b)$$ is some term not involving x in it that may necessarily have a floor function operator.

• no, not really. Floor is a weird function. – Don Thousand Oct 10 '18 at 1:57