(1)/(4)x+2=(-1)/(3)-6x

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Solution for (1)/(4)x+2=(-1)/(3)-6x equation: 



(1)/(4)x+2=(-1)/(3)-6x

We move all terms to the left:

(1)/(4)x+2-((-1)/(3)-6x)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 3-6x)!=0

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

-6x)!=-3

x!=-3/1

x!=-3

x∈R



We calculate fractions


(-6x)+1*3)/(12x-6x))+(-((-1)*4x)/(12x-6x))+2=0

We add all the numbers together, and all the variables

(-6x)+6x))+(-((-1)*4x)/(+6x))+2+1*3)/(=0

We get rid of parentheses

-6x+6x))+(-((-1)*4x)/(+6x))+2+1*3)/(=0

We multiply all the terms by the denominator


-6x*(+6x))+(-((-1)*4x)+6x))+2+1*3)=0



We calculate terms in parentheses: -((-1)*4x), so:

(-1)*4x

We multiply parentheses

-4x

Back to the equation:

-(-4x)



We get rid of parentheses

-6x*(+6x))+(+4x+6x))+2+1*3)=0

We add all the numbers together, and all the variables

-6x*(+6x))+(+10x))+2+1*3)=0

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