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2x-2\left(2+1\right)=x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x-2\times 3=x
Add 2 and 1 to get 3.
2x-6=x
Multiply -2 and 3 to get -6.
2x-6-x=0
Subtract x from both sides.
x-6=0
Combine 2x and -x to get x.
x=6
Add 6 to both sides. Anything plus zero gives itself.