(x+7)/(3-x)=2/3

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


D( x )

3-x = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x in (-oo:3) U (3:+oo)

(x+7)/(3-x) = 2/3 // - 2/3

(x+7)/(3-x)-(2/3) = 0

(x+7)/(3-x)-2/3 = 0

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

3*(x+7)-2*(3-x) = 0

5*x+15 = 0

(5*x+15)/(3*(3-x)) = 0

(5*x+15)/(3*(3-x)) = 0 // * 3*(3-x)

5*x+15 = 0

5*x+15 = 0 // - 15

5*x = -15 // : 5

x = -15/5

x = -3

x = -3

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