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

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



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

We move all terms to the left:

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



Domain of the equation: 2-3x)!=0

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

-3x)!=-2

x!=-2/1

x!=-2

x∈R



We add all the numbers together, and all the variables

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

We multiply parentheses

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

We get rid of parentheses

6x-6x-3x+2+1/2*2=0

We multiply all the terms by the denominator


6x*2*2-6x*2*2-3x*2*2+1+2*2*2=0

We add all the numbers together, and all the variables

6x*2*2-6x*2*2-3x*2*2+9=0

Wy multiply elements

24x*2-24x*2-12x*2+9=0

Wy multiply elements

48x-48x-24x+9=0

We add all the numbers together, and all the variables

-24x+9=0

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

-24x=-9

x=-9/-24

x=3/8

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