(x+2)/(2x-6)=3/8

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Solution for (x+2)/(2x-6)=3/8 equation: 


D( x )

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0 // + 6

2*x = 6 // : 2

x = 6/2

x = 3

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

(x+2)/(2*x-6) = 3/8 // - 3/8

(x+2)/(2*x-6)-(3/8) = 0

(x+2)/(2*x-6)-3/8 = 0

(8*(x+2))/(8*(2*x-6))+(-3*(2*x-6))/(8*(2*x-6)) = 0

8*(x+2)-3*(2*x-6) = 0

2*x+34 = 0

(2*x+34)/(8*(2*x-6)) = 0

(2*x+34)/(8*(2*x-6)) = 0 // * 8*(2*x-6)

2*x+34 = 0

2*x+34 = 0 // - 34

2*x = -34 // : 2

x = -34/2

x = -17

x = -17

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