1/2x=3/(x+5)

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



1/2x=3/(x+5)

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We calculate fractions


(1*(x+5)))/12x^2+(-(3*2x)/12x^2=0

We add all the numbers together, and all the variables

(1*(x+5)))/12x^2+(-(+3*2x)/12x^2=0

We calculate fractions


((1*(x+5)))*12x^2)/(12x^2+(*12x^2)+(-(+3*2x)*12x^2)/(12x^2+(*12x^2)=0



We calculate terms in parentheses: +(-(+3*2x)*12x^2)/(12x^2+(*12x^2), so:

-(+3*2x)*12x^2)/(12x^2+(*12x^2

We multiply all the terms by the denominator


-(+3*2x)*12x^2)+((*12x^2)*(12x^2

Back to the equation:

+(-(+3*2x)*12x^2)+((*12x^2)*(12x^2)



We get rid of parentheses

((1*(x+5)))*12x^2)/(12x^2+*12x^2+(-(+3*2x)*12x^2)+((*12x^2)*12x^2=0

We multiply all the terms by the denominator


((1*(x+5)))*12x^2)+(*12x^2)*(12x^2+((-(+3*2x)*12x^2))*(12x^2+(((*12x^2)*12x^2)*(12x^2=0

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