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g=\frac{5}{2}+\frac{1}{2}x
Divide each term of 5+x by 2 to get \frac{5}{2}+\frac{1}{2}x.
\frac{5}{2}+\frac{1}{2}x=g
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=g-\frac{5}{2}
Subtract \frac{5}{2} from both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{g-\frac{5}{2}}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{g-\frac{5}{2}}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2g-5
Divide g-\frac{5}{2} by \frac{1}{2} by multiplying g-\frac{5}{2} by the reciprocal of \frac{1}{2}.
g=\frac{5}{2}+\frac{1}{2}x
Divide each term of 5+x by 2 to get \frac{5}{2}+\frac{1}{2}x.