(7+x)/(8+2x)=8/13

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Solution for (7+x)/(8+2x)=8/13 equation: 



(7+x)/(8+2x)=8/13

We move all terms to the left:

(7+x)/(8+2x)-(8/13)=0



Domain of the equation: (8+2x)!=0

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

2x!=-8

x!=-8/2

x!=-4

x∈R



We add all the numbers together, and all the variables

(x+7)/(2x+8)-(+8/13)=0

We get rid of parentheses

(x+7)/(2x+8)-8/13=0

We calculate fractions


(13x+91)/(26x+104)+(-16x-64)/(26x+104)=0

We multiply all the terms by the denominator


(13x+91)+(-16x-64)=0

We get rid of parentheses

13x-16x+91-64=0

We add all the numbers together, and all the variables

-3x+27=0

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

-3x=-27

x=-27/-3

x=+9

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