Final answer:
To solve the equation 3(x-1)=3x-___ using the Distributive Property, distribute the 3 to both terms inside the parentheses and simplify the equation. The resulting equation has no solution.
Step-by-step explanation:
To solve the equation 3(x-1)=3x-___ using the Distributive Property, we need to distribute the 3 to both terms inside the parentheses.
This gives us 3x - 3 = 3x - _______.
The -1 becomes +1 when distributed, so our equation becomes 3x - 3 = 3x - 1. Since the 3x terms cancel out on both sides, we are left with -3 = -1.
However, this equation has no solution because -3 does not equal -1.
Therefore, the answer to the question is that there is no value for the blank space in the equation.