(x+2)/(x-5)=3/10

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Solution for (x+2)/(x-5)=3/10 equation: 



(x+2)/(x-5)=3/10

We move all terms to the left:

(x+2)/(x-5)-(3/10)=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)-(+3/10)=0

We get rid of parentheses

(x+2)/(x-5)-3/10=0

We calculate fractions


(10x+20)/(10x-50)+(-3x+15)/(10x-50)=0

We multiply all the terms by the denominator


(10x+20)+(-3x+15)=0

We get rid of parentheses

10x-3x+20+15=0

We add all the numbers together, and all the variables

7x+35=0

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

7x=-35

x=-35/7

x=-5

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