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4-x-6=2\left(x-7\right)
To find the opposite of x+6, find the opposite of each term.
-2-x=2\left(x-7\right)
Subtract 6 from 4 to get -2.
-2-x=2x-14
Use the distributive property to multiply 2 by x-7.
-2-x-2x=-14
Subtract 2x from both sides.
-2-3x=-14
Combine -x and -2x to get -3x.
-3x=-14+2
Add 2 to both sides.
-3x=-12
Add -14 and 2 to get -12.
x=\frac{-12}{-3}
Divide both sides by -3.
x=4
Divide -12 by -3 to get 4.