I thought that you had already made other plans, so I didn't want to cause you any unnecessary burden by inviting you to my place.
ご質問ありがとうございます。
"I thought that you had already made other plans,"＝「君が既に他の予定を立てていたのだと思った」
"so I didn't want to cause you any unnecessary burden"＝「だから、君に余計な迷惑をかけたくなかった」
"by inviting you to my place."＝「僕の家に誘うことで。」
ご参考に。
I thought I might disrupt your plans if I contacted you.
この場合、次のような言い方ができますよ。
ーI thought I might disrupt your plans if I contacted you.
「もし君に連絡したら、（旅行の）計画の邪魔になるかと思って」
to disrupt one's plan で「人の計画を邪魔する・中断させる」
ご参考まで！
アメリカ合衆国 
カナダ 
