If I explain it to you, it's going to take a long time, but to make a long story short, it was my mistake.
この場合、次のような言い方ができますよ。
ーIf I explain it to you, it's going to take a long time, but to make a long story short, it was my mistake.
「説明すると長くなるから、早い話が、わたしのミスだったの」
to make a long story short「かいつまんで言えば・早い話が」
ご参考まで!