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(5x+2)/(3x-1)=2
We move all terms to the left:
(5x+2)/(3x-1)-(2)=0
Domain of the equation: (3x-1)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
3x!=1
x!=1/3
x!=1/3
x∈R
(5x+2)-2*(3x-1)=0
We multiply parentheses
(5x+2)-6x+2=0
We get rid of parentheses
5x-6x+2+2=0
We add all the numbers together, and all the variables
-1x+4=0
We move all terms containing x to the left, all other terms to the right
-x=-4
x=-4/-1
x=+4
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