5-(5)/(6x-7)=5

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


D( x )

6*x-7 = 0

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:+oo)

5-(5/(6*x-7)) = 5 // - 5

5-(5/(6*x-7))-5 = 0

5-5*(6*x-7)^-1-5 = 0

5-5/(6*x-7)-5 = 0

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

5*(6*x-7)-5*(6*x-7)-5 = 0

30*x-30*x-35+30 = 0

-5 = 0

-5/(6*x-7) = 0

-5/(6*x-7) = 0 // * 6*x-7

-5 = 0

x belongs to the empty set

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