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-2x-2-3\left(x-2\right)=6x+2
Use the distributive property to multiply -2 by x+1.
-2x-2-3x+6=6x+2
Use the distributive property to multiply -3 by x-2.
-5x-2+6=6x+2
Combine -2x and -3x to get -5x.
-5x+4=6x+2
Add -2 and 6 to get 4.
-5x+4-6x=2
Subtract 6x from both sides.
-11x+4=2
Combine -5x and -6x to get -11x.
-11x=2-4
Subtract 4 from both sides.
-11x=-2
Subtract 4 from 2 to get -2.
x=\frac{-2}{-11}
Divide both sides by -11.
x=\frac{2}{11}
Fraction \frac{-2}{-11} can be simplified to \frac{2}{11} by removing the negative sign from both the numerator and the denominator.