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2/3x+2=4/3x-6
We move all terms to the left:
2/3x+2-(4/3x-6)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 3x-6)!=0We get rid of parentheses
x∈R
2/3x-4/3x+6+2=0
We multiply all the terms by the denominator
6*3x+2*3x+2-4=0
We add all the numbers together, and all the variables
6*3x+2*3x-2=0
Wy multiply elements
18x+6x-2=0
We add all the numbers together, and all the variables
24x-2=0
We move all terms containing x to the left, all other terms to the right
24x=2
x=2/24
x=1/12
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