Simplify \(\frac{1}{2}(x-1)\) to \(\frac{x-1}{2}\).
\[\frac{x-1}{2}-0.4(x-6)=0.5\]
Multiply both sides by \(2\).
\[x-1-0.8(x-6)=1\]
Expand.
\[x-1-0.8x+4.8=1\]
Simplify \(x-1-0.8x+4.8\) to \(0.2x+3.8\).
\[0.2x+3.8=1\]
Subtract \(3.8\) from both sides.
\[0.2x=1-3.8\]
Simplify \(1-3.8\) to \(-2.8\).
\[0.2x=-2.8\]
Divide both sides by \(0.2\).
\[x=-\frac{2.8}{0.2}\]
Simplify \(\frac{2.8}{0.2}\) to \(14\).
\[x=-14\]
x=-14
