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1023=\frac{x\times 2-1}{1}
Subtract 1 from 2 to get 1.
1023=x\times 2-1
Anything divided by one gives itself.
x\times 2-1=1023
Swap sides so that all variable terms are on the left hand side.
x\times 2=1023+1
Add 1 to both sides.
x\times 2=1024
Add 1023 and 1 to get 1024.
x=\frac{1024}{2}
Divide both sides by 2.
x=512
Divide 1024 by 2 to get 512.