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13-2x-2=2\left(x+2\right)+3x
To find the opposite of 2x+2, find the opposite of each term.
11-2x=2\left(x+2\right)+3x
Subtract 2 from 13 to get 11.
11-2x=2x+4+3x
Use the distributive property to multiply 2 by x+2.
11-2x=5x+4
Combine 2x and 3x to get 5x.
11-2x-5x=4
Subtract 5x from both sides.
11-7x=4
Combine -2x and -5x to get -7x.
-7x=4-11
Subtract 11 from both sides.
-7x=-7
Subtract 11 from 4 to get -7.
x=\frac{-7}{-7}
Divide both sides by -7.
x=1
Divide -7 by -7 to get 1.