5/(7x+13)=1/4x

Solution for 5/(7x+13)=1/4x equation:

5/(7x+13)=1/4x

We move all terms to the left:

5/(7x+13)-(1/4x)=0


Domain of the equation: (7x+13)!=0

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

7x!=-13

x!=-13/7

x!=-1+6/7

x∈R



Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

5/(7x+13)-(+1/4x)=0

We get rid of parentheses

5/(7x+13)-1/4x=0

We calculate fractions


20x/(28x^2+52x)+(-1*(7x+13))/(28x^2+52x)=0


We calculate terms in parentheses: +(-1*(7x+13))/(28x^2+52x), so:

-1*(7x+13))/(28x^2+52x

We add all the numbers together, and all the variables

52x-1*(7x+13))/(28x^2

We multiply all the terms by the denominator


52x*(28x^2-1*(7x+13))

Back to the equation:

+(52x*(28x^2-1*(7x+13)))


We multiply all the terms by the denominator


20x+((52x*(28x^2-1*(7x+13))))*(28x^2+52x)=0


We calculate terms in parentheses: +((52x*(28x^2-1*(7x+13))))*(28x^2+52x), so:

(52x*(28x^2-1*(7x+13))))*(28x^2+52x

We add all the numbers together, and all the variables

52x+(52x*(28x^2-1*(7x+13))))*(28x^2

Back to the equation:

+(52x+(52x*(28x^2-1*(7x+13))))*(28x^2)