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1-2x-2=2\left(x+2\right)+3x
To find the opposite of 2x+2, find the opposite of each term.
-1-2x=2\left(x+2\right)+3x
Subtract 2 from 1 to get -1.
-1-2x=2x+4+3x
Use the distributive property to multiply 2 by x+2.
-1-2x=5x+4
Combine 2x and 3x to get 5x.
-1-2x-5x=4
Subtract 5x from both sides.
-1-7x=4
Combine -2x and -5x to get -7x.
-7x=4+1
Add 1 to both sides.
-7x=5
Add 4 and 1 to get 5.
x=\frac{5}{-7}
Divide both sides by -7.
x=-\frac{5}{7}
Fraction \frac{5}{-7} can be rewritten as -\frac{5}{7} by extracting the negative sign.