Answer
$\{-8\}$
Work Step by Step
Multiply both sides by $2$.
$2\left(1-\frac{1}{2}x\right)=2(5)$
Use distributive property.
$2\cdot 1-2\cdot \frac{1}{2}x=10$
Simplify.
$2-x=10$
Add $x-10$ to both sides.
$2-x+x-10=10+x-10$
Simplify.
$-8=x$
Hence, the solution to the equation is $\{-8\}$.