To solve the equation \( x - 1 = -4 \), we need to isolate \( x \).
We can do this by adding 1 to both sides of the equation:
\[ x - 1 + 1 = -4 + 1 \]
This simplifies to:
\[ x = -3 \]
So the integer that makes the subtraction sentence true is \( -3 \).