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

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



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

We move all terms to the left:

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



Domain of the equation: (x-2)!=0

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

x!=2

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(5x-25)/(5x-10)+(-2x+4)/(5x-10)=0

We multiply all the terms by the denominator


(5x-25)+(-2x+4)=0

We get rid of parentheses

5x-2x-25+4=0

We add all the numbers together, and all the variables

3x-21=0

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

3x=21

x=21/3

x=7

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