5+96/(x^2-16)=(2x-1)/(x+4)-(3x-1)/(4-x)
5+96/(x^2-16)=(2x-1)/(x+4)+(3x-1)/(x-4)
5(x^2-16)+96=(2x-1)(x-4)+(3x-1)(x+4)
5x^2-80+96=2x^2-9x+4+3x^2+11x-4
5x^2+16=5x^2+2x
2x=16
x=8
5+96/(x^2-16)=(2x-1)/(x+4)-(3x-1)/(4-x)
5+96/(x^2-16)=(2x-1)/(x+4)+(3x-1)/(x-4)
5(x^2-16)+96=(2x-1)(x-4)+(3x-1)(x+4)
5x^2-80+96=2x^2-9x+4+3x^2+11x-4
5x^2+16=5x^2+2x
2x=16
x=8