Question

find the missing number so that the equation has infinitely many solutions. \boxed{}x + 20 = 2x + 20

Explanation:

Step1: Recall the condition for infinitely many solutions

For a linear equation of the form \(ax + b = cx + d\) to have infinitely many solutions, the coefficients of \(x\) must be equal (\(a = c\)) and the constant terms must be equal (\(b = d\)).

Step2: Apply the condition to the given equation

The given equation is \(\square x + 20 = 2x + 20\). Here, the constant terms (\(20\)) are already equal. For the coefficients of \(x\) to be equal, the missing coefficient (let's call it \(a\)) must satisfy \(a = 2\).

Answer:

\(2\)