96/(x²-16)+(3x-1)/(4-x)=(2x-1)/(x+4)-5
96/(x+4)(x-4)-(3x-1)/(x-4)=(2x-1)/(x+4)-5
96-(3x-1)(x+4)=(2x-1)(x-4)-5(x²-16)
96-3x²-11x+4=2x²-9x+4-5x²+80
96+4-4-80=-9x+11x
16=2x
x=8
经检验,x=8是方程的根