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-(4x+2)=3x-6
We move all terms to the left:
-(4x+2)-(3x-6)=0
We get rid of parentheses
-4x-3x-2+6=0
We add all the numbers together, and all the variables
-7x+4=0
We move all terms containing x to the left, all other terms to the right
-7x=-4
x=-4/-7
x=4/7
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