x/(x-2)=2/3

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



x/(x-2)=2/3
We move all terms to the left:
x/(x-2)-(2/3)=0
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We add all the numbers together, and all the variables
x/(x-2)-(+2/3)=0
We get rid of parentheses
x/(x-2)-2/3=0
We calculate fractions
3x/(3x-6)+(-2x+4)/(3x-6)=0
We multiply all the terms by the denominator
3x+(-2x+4)=0
We get rid of parentheses
3x-2x+4=0
We add all the numbers together, and all the variables
x+4=0
We move all terms containing x to the left, all other terms to the right
x=-4

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