2(x-3)/3x+1=3/10

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Solution for 2(x-3)/3x+1=3/10 equation: 



2(x-3)/3x+1=3/10

We move all terms to the left:

2(x-3)/3x+1-(3/10)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



We add all the numbers together, and all the variables

2(x-3)/3x+1-(+3/10)=0

We get rid of parentheses

2(x-3)/3x+1-3/10=0

We calculate fractions


(20x-60)/30x+(-9x)/30x+1=0

We multiply all the terms by the denominator


(20x-60)+(-9x)+1*30x=0

Wy multiply elements

(20x-60)+(-9x)+30x=0

We get rid of parentheses

20x-9x+30x-60=0

We add all the numbers together, and all the variables

41x-60=0

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

41x=60

x=60/41

x=1+19/41

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