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n=3+\frac{1}{2}x
Divide each term of 6+x by 2 to get 3+\frac{1}{2}x.
3+\frac{1}{2}x=n
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=n-3
Subtract 3 from both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{n-3}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{n-3}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2n-6
Divide n-3 by \frac{1}{2} by multiplying n-3 by the reciprocal of \frac{1}{2}.
n=3+\frac{1}{2}x
Divide each term of 6+x by 2 to get 3+\frac{1}{2}x.