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2\left(x-2\right)=x
Multiply both sides of the equation by 12, the least common multiple of 6,12.
2x-4=x
Use the distributive property to multiply 2 by x-2.
2x-4-x=0
Subtract x from both sides.
x-4=0
Combine 2x and -x to get x.
x=4
Add 4 to both sides. Anything plus zero gives itself.