Answer
$x=5$
Work Step by Step
$2/(x-3) -4/(x+3) =8*(1/(x^2-9))$
$[(x-3)(x+3)](2/(x-3) -4/(x+3) =8*(1/(x^2-9)))$
$2(x+3)-4(x-3)=8$
$2x+6-4x+12=8$
$-2x+18=8$
$10=2x$
$10/2=2x/2$
$5=x$
$2/(x-3) -4/(x+3) =8*(1/(x^2-9))$
$2/(5-3) -4/(5+3) =8*(1/(5^2-9))$
$2/2 -4/8 = 8*(1/(25-9))$
$8/8-4/8 = 8*(1/16)$
$4/8 = 8/16$
$1/2=1/2$