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2(x-3)=x+13
We move all terms to the left:
2(x-3)-(x+13)=0
We multiply parentheses
2x-(x+13)-6=0
We get rid of parentheses
2x-x-13-6=0
We add all the numbers together, and all the variables
x-19=0
We move all terms containing x to the left, all other terms to the right
x=19
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