7/(x-1)+4/x=9/x

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Solution for 7/(x-1)+4/x=9/x equation: 



7/(x-1)+4/x=9/x

We move all terms to the left:

7/(x-1)+4/x-(9/x)=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: x!=0

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

7/(x-1)+4/x-(+9/x)=0

We get rid of parentheses

7/(x-1)+4/x-9/x=0

We calculate fractions


7x/(x^2-1x)+(-9x+13)/(x^2-1x)=0

We multiply all the terms by the denominator


7x+(-9x+13)=0

We get rid of parentheses

7x-9x+13=0

We add all the numbers together, and all the variables

-2x+13=0

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

-2x=-13

x=-13/-2

x=6+1/2

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