(5x-9)/(5x+3)=(5/6)

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Solution for (5x-9)/(5x+3)=(5/6) equation: 


D( x )

5*x+3 = 0

5*x+3 = 0

5*x+3 = 0

5*x+3 = 0 // - 3

5*x = -3 // : 5

x = -3/5

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

(5*x-9)/(5*x+3) = 5/6 // - 5/6

(5*x-9)/(5*x+3)-(5/6) = 0

(5*x-9)/(5*x+3)-5/6 = 0

(6*(5*x-9))/(6*(5*x+3))+(-5*(5*x+3))/(6*(5*x+3)) = 0

6*(5*x-9)-5*(5*x+3) = 0

5*x-69 = 0

(5*x-69)/(6*(5*x+3)) = 0

(5*x-69)/(6*(5*x+3)) = 0 // * 6*(5*x+3)

5*x-69 = 0

5*x-69 = 0 // + 69

5*x = 69 // : 5

x = 69/5

x = 69/5

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