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12x-10=6x-x-2-x+8
To find the opposite of x+2, find the opposite of each term.
12x-10=5x-2-x+8
Combine 6x and -x to get 5x.
12x-10=5x+6-x
Add -2 and 8 to get 6.
12x-10-5x=6-x
Subtract 5x from both sides.
7x-10=6-x
Combine 12x and -5x to get 7x.
7x-10+x=6
Add x to both sides.
8x-10=6
Combine 7x and x to get 8x.
8x=6+10
Add 10 to both sides.
8x=16
Add 6 and 10 to get 16.
x=\frac{16}{8}
Divide both sides by 8.
x=2
Divide 16 by 8 to get 2.