Initially the Goths tried to capture Adrianople, but lacking siege equipment, they could not take the city's walls.
Instead they kept themselves fed by plundering the countryside, the bulk of the Roman army being too busy elsewhere to stop them.
In 377 CE both sides fought the Battle of the Willows, which was inconclusive.
Raiding was insufficient to feed the Goths, so they moved south and managed to break out of the Roman containment.
Emperor Valens personally led an army to stop them, but was defeated at the Battle of Adrianople.
The victorious Goths again tried to storm the Roman cities and again failed, so they spent the next two years plundering Thrace, Thessaly and Dacia.
In 380 CE they split into two armies, probably because it was hard to keep a large force properly supplied.
The Greuthungi moved north into Pannonia.
They met an army led by the western emperor Gratian and were defeated.
The Tervingi, led by Fritigern, hero of the Battle of Adrianople, moved into Macedonia, extorting towns rather than sacking them.
In 381 CE forces of the western Empire drove them back to Thrace.
A year later peace was made.
The Goths became part of the Roman empire as agreed six years earlier, though now they were treated much better.
They were settled in Pannonia and Moesia and became foederati, barbarian soldiers in employ of the Roman empire.
Nonetheless the relationship between the two parties remained an uneasy one and (much) later the barbarians carved out kingdoms in Italy and Iberia.
The plundering of the Balkans by the Goths that lasted several years and damaged the economy of the Roman empire, which was already weak.
This eroded the tax base of the state and in turn its army deteriorated too.
Other tribes copied the example set by the Goths and slowly started to infiltrate the Roman empire.
Looking back, the Gothic War can be seen as the beginning of the end of the western Roman empire.
War Matrix - Gothic War
Roman Decline 120 BCE - 480 CE, Wars and campaigns