This is a literal equation. Let's isolate z on one side.

Subtract z/x from each side.

z/w - z/x = x + y

Factor our z on the left side:

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

Divide each side by (1/w - 1/x)

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

To remove reciprocals in the denominator, we rewrite 1/w - 1/x with a common denominator xw

(x - w)/xw

Then multiply x + y by the reciprocal

z =

**(x + y)xw/(x - w)**