3x/(x+2)=5/9

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Solution for 3x/(x+2)=5/9 equation:



3x/(x+2)=5/9
We move all terms to the left:
3x/(x+2)-(5/9)=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
3x/(x+2)-(+5/9)=0
We get rid of parentheses
3x/(x+2)-5/9=0
We calculate fractions
27x/(9x+18)+(-5x-10)/(9x+18)=0
We multiply all the terms by the denominator
27x+(-5x-10)=0
We get rid of parentheses
27x-5x-10=0
We add all the numbers together, and all the variables
22x-10=0
We move all terms containing x to the left, all other terms to the right
22x=10
x=10/22
x=5/11

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