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Verified Answer :

2(x-2)=6
2x-4=6
2x=6+4
2x/2=10/2
x=5

2(x-2)=6
Multiply OUT brackets; 2 times X, 2 times -2
2x-4=6
The -4 goes to the other side, therefore becoming +4
2x=6+4
2x=10
The 2 is in its times form, by bringing it to the other side, it becomes a divide.
x=10 divided by 2
x=5

to check, substitute 5 into the equation:
2(5-2)=6
2(3)=6
2*3=6