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2(x-3)-4x=6x-2
We move all terms to the left:
2(x-3)-4x-(6x-2)=0
We add all the numbers together, and all the variables
-4x+2(x-3)-(6x-2)=0
We multiply parentheses
-4x+2x-(6x-2)-6=0
We get rid of parentheses
-4x+2x-6x+2-6=0
We add all the numbers together, and all the variables
-8x-4=0
We move all terms containing x to the left, all other terms to the right
-8x=4
x=4/-8
x=-1/2
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