(6x+7)/(4x-1)=2

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Solution for (6x+7)/(4x-1)=2 equation: 


D( x )

4*x-1 = 0

4*x-1 = 0

4*x-1 = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x in (-oo:1/4) U (1/4:+oo)

(6*x+7)/(4*x-1) = 2 // - 2

(6*x+7)/(4*x-1)-2 = 0

(6*x+7)/(4*x-1)+(-2*(4*x-1))/(4*x-1) = 0

6*x-2*(4*x-1)+7 = 0

9-2*x = 0

(9-2*x)/(4*x-1) = 0

(9-2*x)/(4*x-1) = 0 // * 4*x-1

9-2*x = 0

9-2*x = 0 // - 9

-2*x = -9 // : -2

x = -9/(-2)

x = 9/2

x = 9/2

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