The tricky part is snaking the wire out of the panel and throughout the house.If the panel is located in the garage in close proximity to the laundry room,then getting the circuit over there will be easy.
You will need:
A new 30 amp 2 pole breaker $20.00
50′ 10/3 NM cable $75.00
30 amp receptacle $20.00
Junction box w/cover $5.00
2 NM connectors $3.00
Romex staples $3.00