1/3(2x+4)=3/5(x-8)

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Solution for 1/3(2x+4)=3/5(x-8) equation: 



1/3(2x+4)=3/5(x-8)

We move all terms to the left:

1/3(2x+4)-(3/5(x-8))=0



Domain of the equation: 3(2x+4)!=0

x∈R





Domain of the equation: 5(x-8))!=0

x∈R



We calculate fractions


(5xx/(3(2x+4)*5(x-8)))+(-9x2/(3(2x+4)*5(x-8)))=0



We calculate terms in parentheses: +(5xx/(3(2x+4)*5(x-8))), so:

5xx/(3(2x+4)*5(x-8))

We multiply all the terms by the denominator


5xx

Back to the equation:

+(5xx)





We calculate terms in parentheses: +(-9x2/(3(2x+4)*5(x-8))), so:

-9x2/(3(2x+4)*5(x-8))

We multiply all the terms by the denominator


-9x2

We add all the numbers together, and all the variables

-9x^2

Back to the equation:

+(-9x^2)



We get rid of parentheses

-9x^2+5xx=0

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