3/(5x+7)=1/(2x)

Solution for 3/(5x+7)=1/(2x) equation:

3/(5x+7)=1/(2x)

We move all terms to the left:

3/(5x+7)-(1/(2x))=0


Domain of the equation: (5x+7)!=0

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

5x!=-7

x!=-7/5

x!=-1+2/5

x∈R



Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3/(5x+7)-(+1/2x)=0

We get rid of parentheses

3/(5x+7)-1/2x=0

We calculate fractions


6x/(10x^2+14x)+(-1*(5x+7))/(10x^2+14x)=0


We calculate terms in parentheses: +(-1*(5x+7))/(10x^2+14x), so:

-1*(5x+7))/(10x^2+14x

We add all the numbers together, and all the variables

14x-1*(5x+7))/(10x^2

We multiply all the terms by the denominator


14x*(10x^2-1*(5x+7))

Back to the equation:

+(14x*(10x^2-1*(5x+7)))


We multiply all the terms by the denominator


6x+((14x*(10x^2-1*(5x+7))))*(10x^2+14x)=0


We calculate terms in parentheses: +((14x*(10x^2-1*(5x+7))))*(10x^2+14x), so:

(14x*(10x^2-1*(5x+7))))*(10x^2+14x

We add all the numbers together, and all the variables

14x+(14x*(10x^2-1*(5x+7))))*(10x^2

Back to the equation:

+(14x+(14x*(10x^2-1*(5x+7))))*(10x^2)