x/(x+8)=5/7

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Solution for x/(x+8)=5/7 equation: 



x/(x+8)=5/7

We move all terms to the left:

x/(x+8)-(5/7)=0



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

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

x!=-8

x∈R



We add all the numbers together, and all the variables

x/(x+8)-(+5/7)=0

We get rid of parentheses

x/(x+8)-5/7=0

We calculate fractions


7x/(7x+56)+(-5x-40)/(7x+56)=0

We multiply all the terms by the denominator


7x+(-5x-40)=0

We get rid of parentheses

7x-5x-40=0

We add all the numbers together, and all the variables

2x-40=0

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

2x=40

x=40/2

x=20

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