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-2=-x-\left(-8\right)
To find the opposite of x-8, find the opposite of each term.
-2=-x+8
The opposite of -8 is 8.
-x+8=-2
Swap sides so that all variable terms are on the left hand side.
-x=-2-8
Subtract 8 from both sides.
-x=-10
Subtract 8 from -2 to get -10.
x=10
Multiply both sides by -1.