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

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


D( x )

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0

2*x+1 = 0 // - 1

2*x = -1 // : 2

x = -1/2

x in (-oo:-1/2) U (-1/2:+oo)

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

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

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

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

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

9*x-13 = 0

(9*x-13)/(5*(2*x+1)) = 0

(9*x-13)/(5*(2*x+1)) = 0 // * 5*(2*x+1)

9*x-13 = 0

9*x-13 = 0 // + 13

9*x = 13 // : 9

x = 13/9

x = 13/9

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