To simplify the expression \( 6(2x - 6) \), we can use the distributive property:
\[ 6(2x - 6) = 6 \cdot 2x - 6 \cdot 6 \]
Calculating each term:
\[ 6 \cdot 2x = 12x \] \[ 6 \cdot 6 = 36 \]
Putting it all together, we get:
\[ 6(2x - 6) = 12x - 36 \]
Thus, the equivalent algebraic expression is:
\[ \boxed{12x - 36} \]