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-4=-x-\left(-8\right)
To find the opposite of x-8, find the opposite of each term.
-4=-x+8
The opposite of -8 is 8.
-x+8=-4
Swap sides so that all variable terms are on the left hand side.
-x=-4-8
Subtract 8 from both sides.
-x=-12
Subtract 8 from -4 to get -12.
x=12
Multiply both sides by -1.