Question

find the missing number so that the equation has no solutions. 3x - 9 - 8x = \square x + 14

Explanation:

Step1: Simplify left side terms

Combine like $x$ terms:
$3x - 8x - 9 = -5x - 9$

Step2: Set up no-solution condition

For $ax + b = cx + d$ to have no solutions, $a=c$ and $b
eq d$. Here, we need the coefficient of $x$ on both sides equal:
Let the missing number be $k$. We set $k = -5$.
Verify: $-5x -9 = -5x +14$ simplifies to $-9=14$, which is false, so no solutions.

Answer:

$-5$