Answer
x = -28/3
Work Step by Step
Original Equation
$\frac{5}{x-2}$ - $\frac{2}{x+4}$ = -$\frac{4}{x^{2} + 2x-8}$
Multiply equation by the LCD, (x-2)(x+4) to get rid of denominators
5(x+4) - 2(x-2) = -4
Simplify
3x+24 = -4
Subtract 24
3x = -28
Divide by 3 to find x
x = -28/3