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(3a+1)/(3a-1)=10
We move all terms to the left:
(3a+1)/(3a-1)-(10)=0
Domain of the equation: (3a-1)!=0We multiply all the terms by the denominator
We move all terms containing a to the left, all other terms to the right
3a!=1
a!=1/3
a!=1/3
a∈R
(3a+1)-10*(3a-1)=0
We multiply parentheses
(3a+1)-30a+10=0
We get rid of parentheses
3a-30a+1+10=0
We add all the numbers together, and all the variables
-27a+11=0
We move all terms containing a to the left, all other terms to the right
-27a=-11
a=-11/-27
a=11/27
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