5x/(6x-18)=1/(x-3)

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Solution for 5x/(6x-18)=1/(x-3) equation: 



5x/(6x-18)=1/(x-3)

We move all terms to the left:

5x/(6x-18)-(1/(x-3))=0



Domain of the equation: (6x-18)!=0

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

6x!=18

x!=18/6

x!=3

x∈R





Domain of the equation: (x-3))!=0

x∈R



We calculate fractions


(-10x^2)/((6x-18)*(x-3)))+(-(1*(6x-18))/((6x-18)*(x-3)))=0



We calculate terms in parentheses: -(1*(6x-18))/((6x-18)*(x-3))), so:

1*(6x-18))/((6x-18)*(x-3))

We multiply all the terms by the denominator


1*(6x-18))

Back to the equation:

-(1*(6x-18)))



We multiply all the terms by the denominator


(-10x^2)-((1*(6x-18))))*((6x-18)*(x-3)))+(=0

We get rid of parentheses

-10x^2-((1*(6x-18))))*((6x-18)*(x-3)))+(=0

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