Question

find the missing number so that the equation has no solutions. \\(\square x - 12 = -4x - 20\\)

Explanation:

Step1: Recall when linear equations have no solutions

A linear equation \(ax + b = cx + d\) has no solutions when \(a = c\) and \(b
eq d\).

Step2: Identify coefficients

In the equation \(\square x - 12=-4x - 20\), we want the coefficient of \(x\) on the left to be equal to the coefficient of \(x\) on the right (\(- 4\)) so that we can check the constant terms. The constant terms \(-12\) and \(-20\) are not equal (\(-12
eq - 20\)), so if the coefficient of \(x\) on the left is \(-4\), the equation will have no solutions.

Answer:

\(-4\)