1/6x+2=5/6x-4

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Solution for 1/6x+2=5/6x-4 equation: 



1/6x+2=5/6x-4

We move all terms to the left:

1/6x+2-(5/6x-4)=0



Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R





Domain of the equation: 6x-4)!=0

x∈R



We get rid of parentheses

1/6x-5/6x+4+2=0

We multiply all the terms by the denominator


4*6x+2*6x+1-5=0

We add all the numbers together, and all the variables

4*6x+2*6x-4=0

Wy multiply elements

24x+12x-4=0

We add all the numbers together, and all the variables

36x-4=0

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

36x=4

x=4/36

x=1/9

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