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

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



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

We move all terms to the left:

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



Domain of the equation: (x-2))!=0

x∈R





Domain of the equation: (3x-2))!=0

x∈R



We calculate fractions


(3x^2-2x)/((x-2))*3x+(-4x+8)/((x-2))*3x+2=0

We multiply all the terms by the denominator


(3x^2-2x)+(-4x+8)+2*((x-2))*3x=0

We get rid of parentheses

3x^2-2x-4x+2*((x-2))*3x+8=0

We add all the numbers together, and all the variables

3x^2-6x+2*((x-2))*3x+8=0

We move all terms containing x to the left, all other terms to the right

3x^2-6x+2*((x-2))*3x=-8

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