(x+1)/(3x+5)=2/5

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Solution for (x+1)/(3x+5)=2/5 equation: 



(x+1)/(3x+5)=2/5

We move all terms to the left:

(x+1)/(3x+5)-(2/5)=0



Domain of the equation: (3x+5)!=0

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

3x!=-5

x!=-5/3

x!=-1+2/3

x∈R



We add all the numbers together, and all the variables

(x+1)/(3x+5)-(+2/5)=0

We get rid of parentheses

(x+1)/(3x+5)-2/5=0

We calculate fractions


(5x+5)/(15x+25)+(-6x-10)/(15x+25)=0

We multiply all the terms by the denominator


(5x+5)+(-6x-10)=0

We get rid of parentheses

5x-6x+5-10=0

We add all the numbers together, and all the variables

-1x-5=0

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

-x=5

x=5/-1

x=-5

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