(2x+5)/(3x-1)=3.5

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Solution for (2x+5)/(3x-1)=3.5 equation: 


D( x )

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x in (-oo:1/3) U (1/3:+oo)

(2*x+5)/(3*x-1) = 3.5 // - 3.5

(2*x+5)/(3*x-1)-3.5 = 0

(2*x+5)/(3*x-1)+(-3.5*(3*x-1))/(3*x-1) = 0

2*x-3.5*(3*x-1)+5 = 0

8.5-8.5*x = 0

(8.5-8.5*x)/(3*x-1) = 0

(8.5-8.5*x)/(3*x-1) = 0 // * 3*x-1

8.5-8.5*x = 0

8.5-8.5*x = 0 // - 8.5

-8.5*x = -8.5 // : -8.5

x = -8.5/(-8.5)

x = 1

x = 1

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