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8x+2=6-x-\left(-1\right)
To find the opposite of x-1, find the opposite of each term.
8x+2=6-x+1
The opposite of -1 is 1.
8x+2=7-x
Add 6 and 1 to get 7.
8x+2+x=7
Add x to both sides.
9x+2=7
Combine 8x and x to get 9x.
9x=7-2
Subtract 2 from both sides.
9x=5
Subtract 2 from 7 to get 5.
x=\frac{5}{9}
Divide both sides by 9.