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2x+6=8\times 3\left(2-4\right)
Use the distributive property to multiply 2 by x+3.
2x+6=24\left(2-4\right)
Multiply 8 and 3 to get 24.
2x+6=24\left(-2\right)
Subtract 4 from 2 to get -2.
2x+6=-48
Multiply 24 and -2 to get -48.
2x=-48-6
Subtract 6 from both sides.
2x=-54
Subtract 6 from -48 to get -54.
x=\frac{-54}{2}
Divide both sides by 2.
x=-27
Divide -54 by 2 to get -27.