LeAnn Rimes and Dean Sheremet, in 2008
After PEOPLE broke the news that LeAnn Rimes
and her husband Dean Sheremet are separated
, Sheremet took to Twitter
to express his appreciation for his supporters.
"Thanks to everyone for all the support through a very difficult time!" he tweeted on Saturday.
The message was only Sheremet's second since a post on March 18, when he posted the words, "I love my wife!!!"
Saturday's message comes just one day after PEOPLE reported that the couple, who married in 2002, are no longer living together.
"Le and Dean have been separated for quite some time now," a Rimes pal said, "but they're continuing to try and work through their relationship."