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

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


D( x )

3*x+2 = 0

3*x+2 = 0

3*x+2 = 0

3*x+2 = 0 // - 2

3*x = -2 // : 3

x = -2/3

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

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

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

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

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

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

4*x-19 = 0

(4*x-19)/(5*(3*x+2)) = 0

(4*x-19)/(5*(3*x+2)) = 0 // * 5*(3*x+2)

4*x-19 = 0

4*x-19 = 0 // + 19

4*x = 19 // : 4

x = 19/4

x = 19/4

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