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2x+6=2x-\left(x+2\right)
Use the distributive property to multiply 2 by x+3.
2x+6=2x-x-2
To find the opposite of x+2, find the opposite of each term.
2x+6=x-2
Combine 2x and -x to get x.
2x+6-x=-2
Subtract x from both sides.
x+6=-2
Combine 2x and -x to get x.
x=-2-6
Subtract 6 from both sides.
x=-8
Subtract 6 from -2 to get -8.