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

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



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

We move all terms to the left:

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



Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R





Domain of the equation: 6x+2)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

-12x-24x-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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