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6(x-2)=8x-12
We move all terms to the left:
6(x-2)-(8x-12)=0
We multiply parentheses
6x-(8x-12)-12=0
We get rid of parentheses
6x-8x+12-12=0
We add all the numbers together, and all the variables
-2x=0
x=0/-2
x=0
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