To find an equation that has the same solution as \( x - 12 = 40 \), we can manipulate the original equation.
Starting with:
\[ x - 12 = 40 \]
We can add 12 to both sides to isolate \( x \):
\[ x - 12 + 12 = 40 + 12 \]
This simplifies to:
\[ x = 52 \]
Now, we can create a new equation with the same solution by using the found value of \( x \). One simple equation that results in the same solution could be:
\[ x - 52 = 0 \]
When solved, this yields:
\[ x = 52 \]
Thus, an equation such as \( x - 52 = 0 \) has the same solution as the original equation \( x - 12 = 40 \). Other variations could be created, such as:
\[ 2x - 104 = 0 \]
This also simplifies to \( x = 52 \).