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4(x-2)=2x+12
We move all terms to the left:
4(x-2)-(2x+12)=0
We multiply parentheses
4x-(2x+12)-8=0
We get rid of parentheses
4x-2x-12-8=0
We add all the numbers together, and all the variables
2x-20=0
We move all terms containing x to the left, all other terms to the right
2x=20
x=20/2
x=10
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