Find: x minus 1 / 5 + x minus 1 / 9 = x minus 1 / 8 + x minus 1 / 6

Find: x minus 1 / 5 + x minus 1 / 9 = x minus 1 / 8 + x minus 1 / 6

1/(x-5)+1/(x-9)=1/(x-8)+1/(x-6)
Multiply by (X-5) (X-9) (X-8) (X-6)
(x-8)(x-6)【(x-9)+(x-5)】=(x-5)(x-9)【(x-6)+(x-8)】
(2x-14)(x-8)(x-6)=(x-5)(x-9)(2x-14)
(2x-14)【(x^2-14x+48)-(x^2-14x+45)】=0
(2x-14)*3=0
So x = 7