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\frac{10}{2}+\frac{1}{2}\left(-x\right)=2
Multiply \frac{1}{2} and 10 to get \frac{10}{2}.
5+\frac{1}{2}\left(-x\right)=2
Divide 10 by 2 to get 5.
\frac{1}{2}\left(-x\right)=2-5
Subtract 5 from both sides.
\frac{1}{2}\left(-x\right)=-3
Subtract 5 from 2 to get -3.
-x=-3\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
-x=-6
Multiply -3 and 2 to get -6.
x=6
Multiply both sides by -1.