A flux-cored wire may be used with an Ar—CO2 mixed gas, the wire having a steel sheath filled with a flux. Such flux-cored wires may include, as a total of the steel sheath and the flux, relative to a total wire mass: Fe in 92 mass % or more, total Si in a 0.50 mass % or more and 1.50 mass % 15 or less, Mn in 1.00 mass % or more and 3.00 mass % or less, total Li in 0.010 mass % or more and 0.10 mass % or less, and total Mg in 0.02 mass % or more and less than 0.50 mass %, C in 0.15 mass % or less, P in 0.030 mass % or less, S in 0.030 mass % or less, and a slag forming agent in 0.50 mass % or less.