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\frac{1}{2}x=\frac{1}{2}+2
Add 2 to both sides.
\frac{1}{2}x=\frac{1}{2}+\frac{4}{2}
Convert 2 to fraction \frac{4}{2}.
\frac{1}{2}x=\frac{1+4}{2}
Since \frac{1}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
\frac{1}{2}x=\frac{5}{2}
Add 1 and 4 to get 5.
x=\frac{5}{2}\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=5
Cancel out 2 and 2.