(3x-4)/(3x+1)=4/5

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Solution for (3x-4)/(3x+1)=4/5 equation:


D( x )

3*x+1 = 0

3*x+1 = 0

3*x+1 = 0

3*x+1 = 0 // - 1

3*x = -1 // : 3

x = -1/3

x in (-oo:-1/3) U (-1/3:+oo)

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

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

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

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

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

3*x-24 = 0

(3*x-24)/(5*(3*x+1)) = 0

(3*x-24)/(5*(3*x+1)) = 0 // * 5*(3*x+1)

3*x-24 = 0

3*x-24 = 0 // + 24

3*x = 24 // : 3

x = 24/3

x = 8

x = 8

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