(18)/(x-7)+(-5)/(x)=5.5

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Solution for (18)/(x-7)+(-5)/(x)=5.5 equation: 



(18)/(x-7)+(-5)/(x)=5.5

We move all terms to the left:

(18)/(x-7)+(-5)/(x)-(5.5)=0



Domain of the equation: (x-7)!=0

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

x!=7

x∈R





Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

18/(x-7)+(-5)/x-5.5=0

We calculate fractions


18x/(x^2-7x)+((-5)*(x-7))/(x^2-7x)-5.5=0



We calculate terms in parentheses: +((-5)*(x-7))/(x^2-7x), so:

(-5)*(x-7))/(x^2-7x

We add all the numbers together, and all the variables

-7x+(-5)*(x-7))/(x^2

We multiply all the terms by the denominator


-7x*(x^2+(-5)*(x-7))

Back to the equation:

+(-7x*(x^2+(-5)*(x-7)))



We multiply all the terms by the denominator


18x+((-7x*(x^2+(-5)*(x-7))))*(x^2-7x)-(5.5)*(x^2-7x)=0



We calculate terms in parentheses: +((-7x*(x^2+(-5)*(x-7))))*(x^2-7x), so:

(-7x*(x^2+(-5)*(x-7))))*(x^2-7x

We add all the numbers together, and all the variables

-7x+(-7x*(x^2+(-5)*(x-7))))*(x^2

Back to the equation:

+(-7x+(-7x*(x^2+(-5)*(x-7))))*(x^2)

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