x/(x+5)=5/7

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



x/(x+5)=5/7

We move all terms to the left:

x/(x+5)-(5/7)=0



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

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

x!=-5

x∈R



We add all the numbers together, and all the variables

x/(x+5)-(+5/7)=0

We get rid of parentheses

x/(x+5)-5/7=0

We calculate fractions


7x/(7x+35)+(-5x-25)/(7x+35)=0

We multiply all the terms by the denominator


7x+(-5x-25)=0

We get rid of parentheses

7x-5x-25=0

We add all the numbers together, and all the variables

2x-25=0

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

2x=25

x=25/2

x=12+1/2

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