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x+4/3=3x-2/2
We move all terms to the left:
x+4/3-(3x-2/2)=0
We add all the numbers together, and all the variables
x-(3x-1)+4/3=0
We get rid of parentheses
x-3x+1+4/3=0
We multiply all the terms by the denominator
x*3-3x*3+4+1*3=0
We add all the numbers together, and all the variables
x*3-3x*3+7=0
Wy multiply elements
3x-9x+7=0
We add all the numbers together, and all the variables
-6x+7=0
We move all terms containing x to the left, all other terms to the right
-6x=-7
x=-7/-6
x=1+1/6
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