Ответ:

x/x-2-7/x+2=8/x^2-4

x/x-2-7/x+2=8/x^2-4

x/x-2-7/x+2-8/x^2-4=0

x/x-2-7/x+2-8?(x-2)*(x+2)=0

x*(x+2)-7(x-2)-8/(x-2)*(x+2)=0

x^2+2x-7x+14-8/(x-2)*(x+2)

x^@-2x-3x+6/(x-2)*(x+2)=0

x-3/x+2=0

x-3=0

x=3