i'm self-taught, ph.d. dropout in math. i work for a unicorn in silicon valley; i've done full-stack development and lately devops and cloud infrastructure. learn enough python/java to go through the entirety of http://nand2tetris.org/; this will help you understand basic computer architecture. from there, you can pick and choose from among the courses in https://teachyourselfcs.com, but i'd recommend taking at least computer networking and operating systems. ds&a is good and a prerequisite for interviewing at most companies.

it would help to do this in parallel with some form of employment, as working will teach you practical software engineering skills that you'll never get from reading books. but you'll be more time-constrained, so you'll have to have really good time-management skills.

also, being around good engineers is a form of education. good co-workers can help expose gaps in your knowledge and skills, which you should strive to amend.