(5-6x)/(7+3x)=2(1-x)/x

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Solution for (5-6x)/(7+3x)=2(1-x)/x equation: 


D( x )

x = 0

3*x+7 = 0

x = 0

x = 0

3*x+7 = 0

3*x+7 = 0

3*x+7 = 0 // - 7

3*x = -7 // : 3

x = -7/3

x in (-oo:-7/3) U (-7/3:0) U (0:+oo)

(5-(6*x))/(3*x+7) = (2*(1-x))/x // - (2*(1-x))/x

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

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

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

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

13-14*x^-1 = 0

(13-14*x^-1)/(3*x+7) = 0

(13-14*x^-1)/(3*x+7) = 0 // * 3*x+7

13-14*x^-1 = 0

-14*x^-1 = -13 // : -14

x^-1 = 13/14

-1 < 0

1/(x^1) = 13/14 // * x^1

1 = 13/14*x^1 // : 13/14

14/13 = x^1

x = 14/13

x = 14/13

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