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

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



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

We move all terms to the left:

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

We get rid of parentheses

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

We calculate fractions


(7x-14)/(7x+35)+(-2x-10)/(7x+35)=0

We multiply all the terms by the denominator


(7x-14)+(-2x-10)=0

We get rid of parentheses

7x-2x-14-10=0

We add all the numbers together, and all the variables

5x-24=0

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

5x=24

x=24/5

x=4+4/5

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