x/(2x+1)=4/3

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Solution for x/(2x+1)=4/3 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)

x/(2*x+1) = 4/3 // - 4/3

x/(2*x+1)-(4/3) = 0

x/(2*x+1)-4/3 = 0

(3*x)/(3*(2*x+1))+(-4*(2*x+1))/(3*(2*x+1)) = 0

3*x-4*(2*x+1) = 0

-5*x-4 = 0

(-5*x-4)/(3*(2*x+1)) = 0

(-5*x-4)/(3*(2*x+1)) = 0 // * 3*(2*x+1)

-5*x-4 = 0

-5*x-4 = 0 // + 4

-5*x = 4 // : -5

x = 4/(-5)

x = -4/5

x = -4/5

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