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2(x-4)-4=5x+6
We move all terms to the left:
2(x-4)-4-(5x+6)=0
We multiply parentheses
2x-(5x+6)-8-4=0
We get rid of parentheses
2x-5x-6-8-4=0
We add all the numbers together, and all the variables
-3x-18=0
We move all terms containing x to the left, all other terms to the right
-3x=18
x=18/-3
x=-6
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