2/(3x-5)=4/(x-15)

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Solution for 2/(3x-5)=4/(x-15) equation: 


D( x )

x-15 = 0

3*x-5 = 0

x-15 = 0

x-15 = 0

x-15 = 0 // + 15

x = 15

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:15) U (15:+oo)

2/(3*x-5) = 4/(x-15) // - 4/(x-15)

2/(3*x-5)-(4/(x-15)) = 0

2/(3*x-5)-4*(x-15)^-1 = 0

2/(3*x-5)-4/(x-15) = 0

(2*(x-15))/((3*x-5)*(x-15))+(-4*(3*x-5))/((3*x-5)*(x-15)) = 0

2*(x-15)-4*(3*x-5) = 0

-10*x-10 = 0

(-10*x-10)/((3*x-5)*(x-15)) = 0

(-10*x-10)/((3*x-5)*(x-15)) = 0 // * (3*x-5)*(x-15)

-10*x-10 = 0

-10*x-10 = 0 // + 10

-10*x = 10 // : -10

x = 10/(-10)

x = -1

x = -1

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