(3x-4)/(x+5)=(3)/(2)

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


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

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

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

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

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

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

3*x-23 = 0

(3*x-23)/(2*(x+5)) = 0

(3*x-23)/(2*(x+5)) = 0 // * 2*(x+5)

3*x-23 = 0

3*x-23 = 0 // + 23

3*x = 23 // : 3

x = 23/3

x = 23/3

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