(x-2)/(x-7)=5/10

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Solution for (x-2)/(x-7)=5/10 equation: 



(x-2)/(x-7)=5/10

We move all terms to the left:

(x-2)/(x-7)-(5/10)=0



Domain of the equation: (x-7)!=0

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

x!=7

x∈R



We add all the numbers together, and all the variables

(x-2)/(x-7)-(+5/10)=0

We get rid of parentheses

(x-2)/(x-7)-5/10=0

We calculate fractions


(10x-20)/(10x-70)+(-5x+35)/(10x-70)=0

We multiply all the terms by the denominator


(10x-20)+(-5x+35)=0

We get rid of parentheses

10x-5x-20+35=0

We add all the numbers together, and all the variables

5x+15=0

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

5x=-15

x=-15/5

x=-3

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