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(3x-1)/(5x+1)=6
We move all terms to the left:
(3x-1)/(5x+1)-(6)=0
Domain of the equation: (5x+1)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
5x!=-1
x!=-1/5
x!=-1/5
x∈R
(3x-1)-6*(5x+1)=0
We multiply parentheses
(3x-1)-30x-6=0
We get rid of parentheses
3x-30x-1-6=0
We add all the numbers together, and all the variables
-27x-7=0
We move all terms containing x to the left, all other terms to the right
-27x=7
x=7/-27
x=-7/27
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