((2x-3)/(4x-5))=6

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Solution for ((2x-3)/(4x-5))=6 equation: 


D( x )

4*x-5 = 0

4*x-5 = 0

4*x-5 = 0

4*x-5 = 0 // + 5

4*x = 5 // : 4

x = 5/4

x in (-oo:5/4) U (5/4:+oo)

(2*x-3)/(4*x-5) = 6 // - 6

(2*x-3)/(4*x-5)-6 = 0

(2*x-3)/(4*x-5)+(-6*(4*x-5))/(4*x-5) = 0

2*x-6*(4*x-5)-3 = 0

27-22*x = 0

(27-22*x)/(4*x-5) = 0

(27-22*x)/(4*x-5) = 0 // * 4*x-5

27-22*x = 0

27-22*x = 0 // - 27

-22*x = -27 // : -22

x = -27/(-22)

x = 27/22

x = 27/22

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