Answer
x=3
Work Step by Step
Original Equation
$\frac{1}{x-4}$ - $\frac{3x}{x^{2}-16}$ = $\frac{2}{x+4}$
Multiply equation by the LCD, (x-4)(x+4) to get rid of denominators
(x+4)-3x = 2(x-4)
Distribute
x+4-3x = 2x-8
Simplify
4x = 12
Divide by 4
x=3