How to decompose and resolve respect to x

[Ignition]

How to decompose and resolve respect to x$$\frac{a}{b\pmx}$$?

 

[Ignition]

I would say a/b+x.

 

[HallsofIvy]

How to decompose and resolve respect to x$$\frac{a}{b\pm x}$$?

You need a space between "\pm" and "x". The way you have it, LaTex tries to find a command "\pmx" and since there isn't one, it shows nothing.
$$\frac{a}{b\pm x}$$ means, of course, two values: $$\frac{a}{b+ x}$$ and $$\frac{a}{b- x}$$. Now, what do you mean by "decompose with respect to x"? Neither of those fractions can be simplified more.