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12-8-\left(-x\right)=10
To find the opposite of 8-x, find the opposite of each term.
12-8+x=10
The opposite of -x is x.
4+x=10
Subtract 8 from 12 to get 4.
x=10-4
Subtract 4 from both sides.
x=6
Subtract 4 from 10 to get 6.