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2(x+2)=6x+16
We move all terms to the left:
2(x+2)-(6x+16)=0
We multiply parentheses
2x-(6x+16)+4=0
We get rid of parentheses
2x-6x-16+4=0
We add all the numbers together, and all the variables
-4x-12=0
We move all terms containing x to the left, all other terms to the right
-4x=12
x=12/-4
x=-3
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