7/(5x-6)=4/(x-8)

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Solution for 7/(5x-6)=4/(x-8) equation: 


D( x )

5*x-6 = 0

x-8 = 0

5*x-6 = 0

5*x-6 = 0

5*x-6 = 0 // + 6

5*x = 6 // : 5

x = 6/5

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:6/5) U (6/5:8) U (8:+oo)

7/(5*x-6) = 4/(x-8) // - 4/(x-8)

7/(5*x-6)-(4/(x-8)) = 0

7/(5*x-6)-4*(x-8)^-1 = 0

7/(5*x-6)-4/(x-8) = 0

(7*(x-8))/((5*x-6)*(x-8))+(-4*(5*x-6))/((5*x-6)*(x-8)) = 0

7*(x-8)-4*(5*x-6) = 0

-13*x-32 = 0

(-13*x-32)/((5*x-6)*(x-8)) = 0

(-13*x-32)/((5*x-6)*(x-8)) = 0 // * (5*x-6)*(x-8)

-13*x-32 = 0

-13*x-32 = 0 // + 32

-13*x = 32 // : -13

x = 32/(-13)

x = -32/13

x = -32/13

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