The 2030 Agenda for Sustainable Development-including 17 interconnected Sustainable Development Goals (SDGs) and 169 Targets-is a global plan of action for people, planet and prosperity. SDG7 calls for action to ensure access to affordable, reliable, sustainable and modern energy for all. Here we characterise synergies and trade-offs between efforts to achieve SDG7, and delivery of the 2030 Agenda as a whole. We identify 113 Targets requiring actions to change energy systems, and published evidence of relationships between 143 Targets and efforts to achieve SDG7. Synergies and trade-offs exist in three key domains, where decisions about SDG7 affect humanity's ability to: (1) realise aspirations of greater welfare and wellbeing; (2) build physical and social infrastructures for sustainable development; and (3) achieve sustainable management of the natural environment. There is an urgent need to better organise, connect and extend this evidence, to help all actors work together to achieve sustainable development.