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6x+2=3x+47
We move all terms to the left:
6x+2-(3x+47)=0
We get rid of parentheses
6x-3x-47+2=0
We add all the numbers together, and all the variables
3x-45=0
We move all terms containing x to the left, all other terms to the right
3x=45
x=45/3
x=15
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