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2(x+3)/3=6x-1
We move all terms to the left:
2(x+3)/3-(6x-1)=0
We get rid of parentheses
2(x+3)/3-6x+1=0
We multiply all the terms by the denominator
2(x+3)-6x*3+1*3=0
We add all the numbers together, and all the variables
2(x+3)-6x*3+3=0
We multiply parentheses
2x-6x*3+6+3=0
Wy multiply elements
2x-18x+6+3=0
We add all the numbers together, and all the variables
-16x+9=0
We move all terms containing x to the left, all other terms to the right
-16x=-9
x=-9/-16
x=9/16
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