(x-5)/(x+8)=2/7

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Solution for (x-5)/(x+8)=2/7 equation: 



(x-5)/(x+8)=2/7

We move all terms to the left:

(x-5)/(x+8)-(2/7)=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-5)/(x+8)-(+2/7)=0

We get rid of parentheses

(x-5)/(x+8)-2/7=0

We calculate fractions


(7x-35)/(7x+56)+(-2x-16)/(7x+56)=0

We multiply all the terms by the denominator


(7x-35)+(-2x-16)=0

We get rid of parentheses

7x-2x-35-16=0

We add all the numbers together, and all the variables

5x-51=0

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

5x=51

x=51/5

x=10+1/5

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