In a democratic nation, all citizens have equal rights.
Literal
Democratic-nation [in-では] all's citizens [topic-は] equal's rights [object-を] have.
Notice the two nominal-modifier の's: 全ての国民 ('all (of) the citizens') and 平等の権利 ('equal (-kind-of) rights'). The の here is a flexible connector — genitive, partitive, or adjectival — whose English equivalent shifts constantly.