((2x)/(2x-5))-(1/(x-4))=1

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Solution for ((2x)/(2x-5))-(1/(x-4))=1 equation: 


D( x )

2*x-5 = 0

x-4 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:5/2) U (5/2:4) U (4:+oo)

(2*x)/(2*x-5)-(1/(x-4)) = 1 // - 1

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

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

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

(2*x*(x-4))/((2*x-5)*(x-4))+(-1*(2*x-5))/((2*x-5)*(x-4))+(-1*(2*x-5)*(x-4))/((2*x-5)*(x-4)) = 0

2*x*(x-4)-1*(2*x-5)-1*(2*x-5)*(x-4) = 0

2*x^2-2*x^2-10*x+13*x-20+5 = 0

3*x-15 = 0

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

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

3*x-15 = 0

3*x-15 = 0 // + 15

3*x = 15 // : 3

x = 15/3

x = 5

x = 5

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