(12+a)/(6a-8)=3/2

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Solution for (12+a)/(6a-8)=3/2 equation: 



(12+a)/(6a-8)=3/2

We move all terms to the left:

(12+a)/(6a-8)-(3/2)=0



Domain of the equation: (6a-8)!=0

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

6a!=8

a!=8/6

a!=1+1/3

a∈R



We add all the numbers together, and all the variables

(a+12)/(6a-8)-(+3/2)=0

We get rid of parentheses

(a+12)/(6a-8)-3/2=0

We calculate fractions


(2a+24)/(12a-16)+(-18a+24)/(12a-16)=0

We multiply all the terms by the denominator


(2a+24)+(-18a+24)=0

We get rid of parentheses

2a-18a+24+24=0

We add all the numbers together, and all the variables

-16a+48=0

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

-16a=-48

a=-48/-16

a=+3

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