(2a+6)/(3a-7)=4/5

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Solution for (2a+6)/(3a-7)=4/5 equation: 



(2a+6)/(3a-7)=4/5

We move all terms to the left:

(2a+6)/(3a-7)-(4/5)=0



Domain of the equation: (3a-7)!=0

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

3a!=7

a!=7/3

a!=2+1/3

a∈R



We add all the numbers together, and all the variables

(2a+6)/(3a-7)-(+4/5)=0

We get rid of parentheses

(2a+6)/(3a-7)-4/5=0

We calculate fractions


(10a+30)/(15a-35)+(-12a+28)/(15a-35)=0

We multiply all the terms by the denominator


(10a+30)+(-12a+28)=0

We get rid of parentheses

10a-12a+30+28=0

We add all the numbers together, and all the variables

-2a+58=0

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

-2a=-58

a=-58/-2

a=+29

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