(2x-1)/(x+3)=(1/2)

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


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

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

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

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

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

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

3*x-5 = 0

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

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

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x = 5/3

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