Question

find the missing number so that the equation has no solutions. 3(x - 6) = \square x - 9

Explanation:

Step1: Expand left side

$3(x - 6) = 3x - 18$

Step2: Set up no-solution condition

For $ax + b = cx + d$ to have no solutions, $a=c$ and $b
eq d$. Here, set the coefficient of $x$ equal to 3, so $\text{missing number}=3$. Verify: $3x - 18 = 3x - 9$ simplifies to $-18=-9$, which is false.

Answer:

3