This is the common marbled carpet moth (Chloroclysta truncata); no, not a species that lays eggs in carpets so nothing to wory about if you find one in your garden! I am not sure quite why they are called carpet moths other than that they have patterns that would grace the finest Axminster!
The common marbled carpet is certainly common. It is found in all sorts of different habitats, both rural and urban, as its larvae feed on a wide range of trees and shrubs including brambles and you can find bramble just about anywhere. It also flies from May to June and then has a second brood from August right through until November if the weather is kind so it is common for most of the summer and autumn.
It can be quite variable in terms of the both amount of orange that appears on the fore wings and the strength of the white lines but it certainly has a marbled appearance.
A night flyer but easily disturbed so you might catch sight of one when gardening or when out walking near brambles.