5/(x+3)=14/(x-6)

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Solution for 5/(x+3)=14/(x-6) equation:



5/(x+3)=14/(x-6)
We move all terms to the left:
5/(x+3)-(14/(x-6))=0
Domain of the equation: (x+3)!=0
We move all terms containing x to the left, all other terms to the right
x!=-3
x∈R
Domain of the equation: (x-6))!=0
x∈R
We calculate fractions
5x/((x+3)*(x-6)))+(-(14*(x+3))/((x+3)*(x-6)))=0
We calculate terms in parentheses: -(14*(x+3))/((x+3)*(x-6))), so:
14*(x+3))/((x+3)*(x-6))
We multiply all the terms by the denominator
14*(x+3))
We multiply parentheses
14x+
We add all the numbers together, and all the variables
14x
Back to the equation:
-(14x)
We add all the numbers together, and all the variables
-14x+5x/((x+3)*(x-6)))+(=0
We multiply all the terms by the denominator
-14x*((x+3)*(x-6)))+(+5x=0
We add all the numbers together, and all the variables
5x-14x*((x+3)*(x-6)))+(=0

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