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2x-\left(x-2\right)=6
Multiply both sides of the equation by 2.
2x-x-\left(-2\right)=6
To find the opposite of x-2, find the opposite of each term.
2x-x+2=6
The opposite of -2 is 2.
x+2=6
Combine 2x and -x to get x.
x=6-2
Subtract 2 from both sides.
x=4
Subtract 2 from 6 to get 4.