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8=2x-1
Subtract 1 from 9 to get 8.
2x-1=8
Swap sides so that all variable terms are on the left hand side.
2x=8+1
Add 1 to both sides.
2x=9
Add 8 and 1 to get 9.
x=\frac{9}{2}
Divide both sides by 2.