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x-2x-1=8-\left(3x+3\right)
To find the opposite of 2x+1, find the opposite of each term.
-x-1=8-\left(3x+3\right)
Combine x and -2x to get -x.
-x-1=8-3x-3
To find the opposite of 3x+3, find the opposite of each term.
-x-1=5-3x
Subtract 3 from 8 to get 5.
-x-1+3x=5
Add 3x to both sides.
2x-1=5
Combine -x and 3x to get 2x.
2x=5+1
Add 1 to both sides.
2x=6
Add 5 and 1 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.