X/(x-1)=7/6

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Solution for X/(x-1)=7/6 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

X/(x-1) = 7/6 // - 7/6

X/(x-1)-(7/6) = 0

X/(x-1)-7/6 = 0

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

6*X-7*(x-1) = 0

6*X-7*x+7 = 0

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

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

6*X-7*x+7 = 0

6*X-7*x+7 = 0 // - 6*X+7

-7*x = -(6*X+7) // : -7

x = (-(6*X+7))/(-7)

x = (6*X+7)/7

x = (6*X+7)/7

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