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

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


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

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

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

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

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

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

8*x-14 = 0

(8*x-14)/(x-4) = 0

(8*x-14)/(x-4) = 0 // * x-4

8*x-14 = 0

8*x-14 = 0 // + 14

8*x = 14 // : 8

x = 14/8

x = 7/4

x = 7/4

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