Answer
$x=-10$
Work Step by Step
$1-\frac{1}{2}x=6$ $\longrightarrow$ addition property of equality
$1-\frac{1}{2}x-1=6-1$ $\longrightarrow$ combine like terms
$-\frac{1}{2}x=5$ $\longrightarrow$ multiplication property of equality
$-\frac{1}{2}x\times-2=5\times-2$ $\longrightarrow$ simplify
$x=-10$