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180-x-\left(-20\right)=x
To find the opposite of x-20, find the opposite of each term.
180-x+20=x
The opposite of -20 is 20.
200-x=x
Add 180 and 20 to get 200.
200-x-x=0
Subtract x from both sides.
200-2x=0
Combine -x and -x to get -2x.
-2x=-200
Subtract 200 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-200}{-2}
Divide both sides by -2.
x=100
Divide -200 by -2 to get 100.