3(x-3)/6x=9/10

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Solution for 3(x-3)/6x=9/10 equation: 



3(x-3)/6x=9/10

We move all terms to the left:

3(x-3)/6x-(9/10)=0



Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R



We add all the numbers together, and all the variables

3(x-3)/6x-(+9/10)=0

We get rid of parentheses

3(x-3)/6x-9/10=0

We calculate fractions


(30x-90)/60x+(-54x)/60x=0

We multiply all the terms by the denominator


(30x-90)+(-54x)=0

We get rid of parentheses

30x-54x-90=0

We add all the numbers together, and all the variables

-24x-90=0

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

-24x=90

x=90/-24

x=-3+3/4

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