(4/x + 2) + (1/x - 2) = (5x-6) / (x² - 4)
First, simplify the left side: 4/x + 1/x = 5/x and + 2 - 2 = 0.
If you factor x² - 4 , you get: (x + 2)(x - 2).
The denominaors have three terms: x, x + 2, and x - 2. Since denominators are not allowed to be zero, the numers 0, -2, and +2 cannot be answers.
5/x = (5x-6) / (x² - 4)
Cross multiply:
5(x² - 4) = x(5x-6)
Multiply out:
5x² - 20 = 5x² - 6 x
-20 = -6x
x = 10/3