(2x-4)/(5-x)=10/4

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Solution for (2x-4)/(5-x)=10/4 equation: 


D( x )

5-x = 0

5-x = 0

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

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

(2*x-4)/(5-x) = 10/4 // - 10/4

(2*x-4)/(5-x)-(10/4) = 0

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

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

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

9*x-33 = 0

(9*x-33)/(2*(5-x)) = 0

(9*x-33)/(2*(5-x)) = 0 // * 2*(5-x)

9*x-33 = 0

9*x-33 = 0 // + 33

9*x = 33 // : 9

x = 33/9

x = 11/3

x = 11/3

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