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18-3x-\left(-6\right)=x
To find the opposite of 3x-6, find the opposite of each term.
18-3x+6=x
The opposite of -6 is 6.
24-3x=x
Add 18 and 6 to get 24.
24-3x-x=0
Subtract x from both sides.
24-4x=0
Combine -3x and -x to get -4x.
-4x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24}{-4}
Divide both sides by -4.
x=6
Divide -24 by -4 to get 6.