X/(3x-5)=-1/2

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Solution for X/(3x-5)=-1/2 equation: 


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

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

X/(3*x-5)-(-1/2) = 0

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

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

1*(3*x-5)+2*X = 0

2*X+3*x-5 = 0

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

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

2*X+3*x-5 = 0

2*X+3*x-5 = 0 // - 2*X-5

3*x = -(2*X-5) // : 3

x = (-(2*X-5))/3

x = (5-(2*X))/3

x = (5-(2*X))/3

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