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2(x-5)=4x+4
We move all terms to the left:
2(x-5)-(4x+4)=0
We multiply parentheses
2x-(4x+4)-10=0
We get rid of parentheses
2x-4x-4-10=0
We add all the numbers together, and all the variables
-2x-14=0
We move all terms containing x to the left, all other terms to the right
-2x=14
x=14/-2
x=-7
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