A synonym for "equipping people" could be "empowering individuals." This phrase conveys the idea of providing people with the necessary tools, resources, knowledge, or skills to enable them to achieve their goals, improve their circumstances, or perform tasks effectively. Empowerment often implies a sense of enabling self-sufficiency and confidence, which aligns closely with the concept of equipping someone with what they need to succeed.

Other possible synonyms might include:

• Enabling people: This suggests providing the means or opportunities for individuals to accomplish something.
• Outfitting individuals: This can imply supplying people with the necessary equipment or gear.
• Preparing individuals: This indicates making someone ready for a particular task or situation.
• Furnishing people: This can mean supplying people with what they need, whether it's physical tools or knowledge.
• Arming individuals: This can be used metaphorically to suggest providing people with the necessary tools or knowledge to face challenges.

Each of these phrases carries slightly different connotations, but all revolve around the central idea of providing people with what they need to succeed or perform effectively.