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2-2x=20-\left(x+2\right)
Use the distributive property to multiply 2 by 1-x.
2-2x=20-x-2
To find the opposite of x+2, find the opposite of each term.
2-2x=18-x
Subtract 2 from 20 to get 18.
2-2x+x=18
Add x to both sides.
2-x=18
Combine -2x and x to get -x.
-x=18-2
Subtract 2 from both sides.
-x=16
Subtract 2 from 18 to get 16.
x=-16
Multiply both sides by -1.