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2(3+x)=114-4x
We move all terms to the left:
2(3+x)-(114-4x)=0
We add all the numbers together, and all the variables
2(x+3)-(-4x+114)=0
We multiply parentheses
2x-(-4x+114)+6=0
We get rid of parentheses
2x+4x-114+6=0
We add all the numbers together, and all the variables
6x-108=0
We move all terms containing x to the left, all other terms to the right
6x=108
x=108/6
x=18
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