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x+2-\frac{1}{2}x=3
Subtract \frac{1}{2}x from both sides.
\frac{1}{2}x+2=3
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x=3-2
Subtract 2 from both sides.
\frac{1}{2}x=1
Subtract 2 from 3 to get 1.
x=1\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=2
Multiply 1 and 2 to get 2.