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x-3-\frac{1}{2}x=3
To find the opposite of 3+\frac{1}{2}x, find the opposite of each term.
\frac{1}{2}x-3=3
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x=3+3
Add 3 to both sides.
\frac{1}{2}x=6
Add 3 and 3 to get 6.
x=6\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=12
Multiply 6 and 2 to get 12.