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2x+47=3x-12
We move all terms to the left:
2x+47-(3x-12)=0
We get rid of parentheses
2x-3x+12+47=0
We add all the numbers together, and all the variables
-1x+59=0
We move all terms containing x to the left, all other terms to the right
-x=-59
x=-59/-1
x=+59
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