The industry that was one of the first to industrialize europe and the united states was
the textile industry.
the meatpacking industry.
the steel-manufacturing industry.
the automobile-manufacturing industry.

It was the "textile industry" that was one of the first to industrialize Europe and the United States, since textiles were in high demand and the new factory systems lent themselves well to their production. 

Answer;

Textile industry

Explanation;

Industrialization marked a shift to powered, special-purpose machinery, factories and mass production.

Textile industries was the first industry to undergo major industrialization.

The iron and textile industries, along with the development of the steam engine, played central roles in the Industrial Revolution, which also saw improved systems of transportation, communication and banking.

The increased use of machinery

Explanation: