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

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


D( x )

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x in (-oo:-3/2) U (-3/2:+oo)

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

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

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

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

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

-x-3 = 0

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

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

-x-3 = 0

-x-3 = 0 // + 3

-x = 3 // * -1

x = -3

x = -3

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