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6-2x=x+3
We move all terms to the left:
6-2x-(x+3)=0
We get rid of parentheses
-2x-x-3+6=0
We add all the numbers together, and all the variables
-3x+3=0
We move all terms containing x to the left, all other terms to the right
-3x=-3
x=-3/-3
x=1
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