If x - z = xy + w, then x equals what

Also, what type of math problem is this so I know what to study up on?

Bring like terms to one side and then isolate the variable:

x - xy = z + w
x(1 - y) = z + w
x = (z + w) / (1 - y)

This is just like a normal algebra problem, without the numbers.

It's just manipulating the variables, x will not equal a specific number

x - z = xy + w
x - xy - z = w
x - xy = z + w
x(1-y) = z + w
x = (z + w)/(1-y)

That is probably all you are expected to do.

x - z = xy + w

x - xy = w + z

x(1 - y) = w + z

x = (w + z)/(1 - y)

You usually see these in both algebras (usually algebra 1) and in some differential equations if you are in calculus.