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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