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

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


D( x )

3*x = 0

x+2 = 0

3*(x+2) = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

3*(x+2) = 0

3*(x+2) = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:0) U (0:+oo)

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

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

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

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

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

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

3*x-6*x-12 = 0

-3*x-12 = 0

(-3*x-12)/(3*3*x*(x+2)) = 0

(-3*x-12)/(3*3*x*(x+2)) = 0 // * 3*3*x*(x+2)

-3*x-12 = 0

-3*x-12 = 0 // + 12

-3*x = 12 // : -3

x = 12/(-3)

x = -4

x = -4

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