8/(3x-2)=3/(x+2)

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Solution for 8/(3x-2)=3/(x+2) equation: 


D( x )

x+2 = 0

3*x-2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

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

8/(3*x-2) = 3/(x+2) // - 3/(x+2)

8/(3*x-2)-(3/(x+2)) = 0

8/(3*x-2)-3*(x+2)^-1 = 0

8/(3*x-2)-3/(x+2) = 0

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

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

22-x = 0

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

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

22-x = 0

22-x = 0 // - 22

-x = -22 // * -1

x = 22

x = 22

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