2/3x+4=1/3x-2

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



2/3x+4=1/3x-2
We move all terms to the left:
2/3x+4-(1/3x-2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-2)!=0
x∈R
We get rid of parentheses
2/3x-1/3x+2+4=0
We multiply all the terms by the denominator
2*3x+4*3x+2-1=0
We add all the numbers together, and all the variables
2*3x+4*3x+1=0
Wy multiply elements
6x+12x+1=0
We add all the numbers together, and all the variables
18x+1=0
We move all terms containing x to the left, all other terms to the right
18x=-1
x=-1/18
x=-1/18

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