Problem: \frac{x}{x\, -\, 2}\, +\, \frac{2x}{4\, -\, x^2}\, =\, \frac{5}{x\, +\, 2} I can usually solve these kinds of problems pretty easily, but I got stuck with this one and when I checked the answer it was imaginary... I made a common denominator of -(x-2)(x+2) on the left side and then combined...