"he equates with" is a correct and usable phrase in written English.
It is typically used to signify that two entities have an equivalent value or status in comparison with one another, for example: The heroism of the firefighters equates with that of the soldiers on the battlefield.
His productions are, in part, about the comedy of language, which he equates with miscommunication.
(He is occasionally too enamored of his cranks, whose crustiness he equates with truthtelling).
In his extended thesis, Putnam argues that America has seen a general decline in social capital, which he equates with social networks.
In Xenakis's unmelodious music he lauds "beauty washed clean of affective filth, stripped of sentimental barbarity" — in other words, Romanticism, which he equates with kitsch.
The title refers to Augustine's childhood dismissal of the existence of God, a decision that he equates with the rejection of all morality.
He is particularly suspicious of strong governments, which he equates with monopolies and those, he insists, "always grow complacent, stagnant and self-serving".He is right that the leaden hand of the state has often suppressed individual freedom and creativity.
Increasingly, he disconnected from a white culture that he equated with false desires.
Calling himself "the world's No. 1 Jackson Browne fan," Nelson described Browne as "a major artist of this century," one he equated with F. Scott Fitzgerald.
He wanted to compete against his peers, to see his superior abilities yield dollars for the first time, a transaction he equated with adulthood.
Opposition deputy Javier García, of the centre-right National party, accused legislators of treating living embryos as if they were "disposable," which he equated with murder.
And he pledged to be "a major factor in the debate in the country" on issues like abortion, which he opposes without compromise, and American eagerness to trade with China, a policy he equated with "betraying who we are".
