5/(4x-5)=1/3

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Solution for 5/(4x-5)=1/3 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)

5/(4*x-5) = 1/3 // - 1/3

5/(4*x-5)-(1/3) = 0

5/(4*x-5)-1/3 = 0

(3*5)/(3*(4*x-5))+(-1*(4*x-5))/(3*(4*x-5)) = 0

3*5-1*(4*x-5) = 0

20-4*x = 0

(20-4*x)/(3*(4*x-5)) = 0

(20-4*x)/(3*(4*x-5)) = 0 // * 3*(4*x-5)

20-4*x = 0

20-4*x = 0 // - 20

-4*x = -20 // : -4

x = -20/(-4)

x = 5

x = 5

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