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6x-12=9x+17
We move all terms to the left:
6x-12-(9x+17)=0
We get rid of parentheses
6x-9x-17-12=0
We add all the numbers together, and all the variables
-3x-29=0
We move all terms containing x to the left, all other terms to the right
-3x=29
x=29/-3
x=-9+2/3
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