2/(3x-4)=5/(6x-7)

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Solution for 2/(3x-4)=5/(6x-7) equation:


D( x )

3*x-4 = 0

6*x-7 = 0

3*x-4 = 0

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

6*x-7 = 0

6*x-7 = 0

6*x-7 = 0 // + 7

6*x = 7 // : 6

x = 7/6

x in (-oo:7/6) U (7/6:4/3) U (4/3:+oo)

2/(3*x-4) = 5/(6*x-7) // - 5/(6*x-7)

2/(3*x-4)-(5/(6*x-7)) = 0

2/(3*x-4)-5*(6*x-7)^-1 = 0

2/(3*x-4)-5/(6*x-7) = 0

(2*(6*x-7))/((3*x-4)*(6*x-7))+(-5*(3*x-4))/((3*x-4)*(6*x-7)) = 0

2*(6*x-7)-5*(3*x-4) = 0

6-3*x = 0

(6-3*x)/((3*x-4)*(6*x-7)) = 0

(6-3*x)/((3*x-4)*(6*x-7)) = 0 // * (3*x-4)*(6*x-7)

6-3*x = 0

6-3*x = 0 // - 6

-3*x = -6 // : -3

x = -6/(-3)

x = 2

x = 2

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