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x-\frac{1}{2}x-\left(-2\right)=36
To find the opposite of \frac{1}{2}x-2, find the opposite of each term.
x-\frac{1}{2}x+2=36
The opposite of -2 is 2.
\frac{1}{2}x+2=36
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
\frac{1}{2}x=36-2
Subtract 2 from both sides.
\frac{1}{2}x=34
Subtract 2 from 36 to get 34.
x=34\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=68
Multiply 34 and 2 to get 68.