Question

find the missing number so that the equation has no solutions.
2x + 6 = \square x - 18

Explanation:

Step1: Recall no-solution condition

For a linear equation \(ax + b = cx + d\) to have no solutions, the coefficients of \(x\) must be equal (\(a = c\)) and the constant terms must be unequal (\(b
eq d\)).

Step2: Analyze the given equation

Given equation: \(2x + 6=\square x - 18\). Let the missing number be \(m\), so the equation is \(2x + 6 = mx - 18\).

For no solutions, the coefficient of \(x\) on both sides must be equal (\(m = 2\)) and the constant terms \(6\) and \(- 18\) are already unequal (\(6
eq - 18\)).

Answer:

\(2\)