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

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



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

We move all terms to the left:

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



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 36x-2!=0

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

36x!=2

x!=2/36

x!=1/18

x∈R



We calculate fractions


(36x-2)/(144x^2-2)+(-(2*4x)/(144x^2-2)=0



We calculate terms in parentheses: +(-(2*4x)/(144x^2-2), so:

-(2*4x)/(144x^2-2

We add all the numbers together, and all the variables

-(+2*4x)/(144x^2-2

We multiply all the terms by the denominator


-(+2*4x)

We get rid of parentheses

-2*4x

Wy multiply elements

-8x

Back to the equation:

+(-8x)



We get rid of parentheses

(36x-2)/(144x^2-2)-8x=0

We multiply all the terms by the denominator


(36x-2)-8x*(144x^2-2)=0

We multiply parentheses

-1152x^3+(36x-2)+16x=0

We get rid of parentheses

-1152x^3+36x+16x-2=0

We do not support expression: x^3

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