Let \( x \) represent the number of days.
For the first song, the total number of listens after \( x \) days can be expressed as: \[ 1000 + 38x \]
For the second song, the total number of listens after \( x \) days can be expressed as: \[ 900 + 40x \]
To find the number of days it would take for the two songs to have the same number of listens, we set the two expressions equal to each other: \[ 1000 + 38x = 900 + 40x \]
This equation can be solved to find \( x \).