At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x

To find the number of days it would take for the two songs to have the same number of listens, we can set up equations for the number of listens for each song over time.

Let \( x \) be the number of days.

For the first song:
- Initial listens: 1,000
- New listens per day: 38
- Total listens after \( x \) days:
\[
1000 + 38x
\]

For the second song:
- Initial listens: 900
- New listens per day: 40
- Total listens after \( x \) days:
\[
900 + 40x
\]

To find when both songs have the same number of listens, we set the two equations equal to each other:
\[
1000 + 38x = 900 + 40x
\]

This is the equation that shows the number of days it would take for the two songs to have the same number of listens.