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2-\left(-x\right)-6=12
To find the opposite of -x+6, find the opposite of each term.
-4-\left(-x\right)=12
Subtract 6 from 2 to get -4.
-\left(-x\right)=12+4
Add 4 to both sides.
-\left(-x\right)=16
Add 12 and 4 to get 16.
-x=-16
Divide both sides by -1.
x=16
Multiply both sides by -1.