当X为何值时,代数式(2X+9)/(X+3)-1/(X-3)-2/X的值等于2

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当X为何值时,代数式(2X+9)/(X+3)-1/(X-3)-2/X的值等于2
当X为何值时,代数式(2X+9)/(X+3)-1/(X-3)-2/X的值等于2

当X为何值时,代数式(2X+9)/(X+3)-1/(X-3)-2/X的值等于2
(2x+9)/(x+3)-1/(x-3)-2/x=2
(2x+6+3)/(x+3)-1/(x-3)-2/x=2
2+3/(x+3)-1/(x-3)-2/x=2
3/(x+3)-1/(x-3)-2/x=0
3/(x+3)=1/(x-3)+2/x
3/(x+3)=[x+2(x-3)]/[x(x-3)]
3/(x+3)=(3x-6)/[x(x-3)]
1/(x+3)=(x-2)/[x(x-3)]
(x+3)(x-2)=x(x-3)
x^2+x-6=x^2-3x
4x=6
x=3/2