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9-2x-6=x-\left(3+6x\right)
Use the distributive property to multiply -2 by x+3.
3-2x=x-\left(3+6x\right)
Subtract 6 from 9 to get 3.
3-2x=x-3-6x
To find the opposite of 3+6x, find the opposite of each term.
3-2x=-5x-3
Combine x and -6x to get -5x.
3-2x+5x=-3
Add 5x to both sides.
3+3x=-3
Combine -2x and 5x to get 3x.
3x=-3-3
Subtract 3 from both sides.
3x=-6
Subtract 3 from -3 to get -6.
x=\frac{-6}{3}
Divide both sides by 3.
x=-2
Divide -6 by 3 to get -2.