To simplify the expression \(5(x - 1) - 6\), let's distribute and combine like terms.
-
Distribute \(5\) to both \(x\) and \(-1\): \[ 5(x - 1) = 5x - 5 \]
-
Now, substitute this back into the original expression: \[ 5(x - 1) - 6 = 5x - 5 - 6 \]
-
Combine the constants \(-5\) and \(-6\): \[ -5 - 6 = -11 \]
Thus, the expression simplifies to: \[ 5x - 11 \]
The equivalent expression to \(5(x - 1) - 6\) is: \[ \boxed{5x - 11} \]