Valmiki Ramayana Ayodhya Kanda Sarga 8 Shloka 29
Original Shlokaभरतस्याप्यनुवशश्शत्रुघ्नोऽपि समं गतः। लक्ष्मणो हि यथा रामं तथाऽसौ भरतं गतः।।2.8.29।।
1 source checked for this shloka
भरतस्य of Bharata, अनुवश: obedient, शत्रुघ्नोऽपि Satrughna also, समम् along with him, गत: has gone, लक्ष्मण: Lakshmana, रामम् to Rama, यथा as, असौ this Satrughna, तथा in that way, भरतम् to Bharata.
Satrughna who is obedient to Bharata has followed him. Like Lakshmana who has taken refuge in Rama, he has also resorted to Bharata.