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2x-\left(x-3\left(x-2x-6\right)\right)=6
Use the distributive property to multiply -2 by x+3.
2x-\left(x-3\left(-x-6\right)\right)=6
Combine x and -2x to get -x.
2x-\left(x+3x+18\right)=6
Use the distributive property to multiply -3 by -x-6.
2x-\left(4x+18\right)=6
Combine x and 3x to get 4x.
2x-4x-18=6
To find the opposite of 4x+18, find the opposite of each term.
-2x-18=6
Combine 2x and -4x to get -2x.
-2x=6+18
Add 18 to both sides.
-2x=24
Add 6 and 18 to get 24.
x=\frac{24}{-2}
Divide both sides by -2.
x=-12
Divide 24 by -2 to get -12.