(x-5)/(x+6)=2/7

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Solution for (x-5)/(x+6)=2/7 equation: 



(x-5)/(x+6)=2/7

We move all terms to the left:

(x-5)/(x+6)-(2/7)=0



Domain of the equation: (x+6)!=0

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

x!=-6

x∈R



We add all the numbers together, and all the variables

(x-5)/(x+6)-(+2/7)=0

We get rid of parentheses

(x-5)/(x+6)-2/7=0

We calculate fractions


(7x-35)/(7x+42)+(-2x-12)/(7x+42)=0

We multiply all the terms by the denominator


(7x-35)+(-2x-12)=0

We get rid of parentheses

7x-2x-35-12=0

We add all the numbers together, and all the variables

5x-47=0

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

5x=47

x=47/5

x=9+2/5

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