6/(x+6)=12/(5x-13)

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Solution for 6/(x+6)=12/(5x-13) equation: 



6/(x+6)=12/(5x-13)

We move all terms to the left:

6/(x+6)-(12/(5x-13))=0



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

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

x!=-6

x∈R





Domain of the equation: (5x-13))!=0

x∈R



We calculate fractions


30x/((x+6)*(5x-13)))+(-(12*(x+6))/((x+6)*(5x-13)))=0



We calculate terms in parentheses: -(12*(x+6))/((x+6)*(5x-13))), so:

12*(x+6))/((x+6)*(5x-13))

We multiply all the terms by the denominator


12*(x+6))

We multiply parentheses

12x+

We add all the numbers together, and all the variables

12x

Back to the equation:

-(12x)



We add all the numbers together, and all the variables

-12x+30x/((x+6)*(5x-13)))+(=0

We multiply all the terms by the denominator


-12x*((x+6)*(5x-13)))+(+30x=0

We add all the numbers together, and all the variables

30x-12x*((x+6)*(5x-13)))+(=0

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