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x-\left(-x\right)-16=0
To find the opposite of -x+16, find the opposite of each term.
x-\left(-x\right)=16
Add 16 to both sides. Anything plus zero gives itself.
x+x=16
Multiply -1 and -1 to get 1.
2x=16
Combine x and x to get 2x.
x=\frac{16}{2}
Divide both sides by 2.
x=8
Divide 16 by 2 to get 8.