14/(x-1)=-2/3x

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Solution for 14/(x-1)=-2/3x equation: 



14/(x-1)=-2/3x

We move all terms to the left:

14/(x-1)-(-2/3x)=0



Domain of the equation: (x-1)!=0

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

x!=1

x∈R





Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We get rid of parentheses

14/(x-1)+2/3x=0

We calculate fractions


42x/(3x^2-3x)+(2x-2)/(3x^2-3x)=0

We multiply all the terms by the denominator


42x+(2x-2)=0

We get rid of parentheses

42x+2x-2=0

We add all the numbers together, and all the variables

44x-2=0

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

44x=2

x=2/44

x=1/22

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