The very first step to becoming higher ELO is to...
Learn to survive, BEFORE you learn to kill.
Killing is fine, and will come naturally, But the very first set of skills you should obtain that will help you climb, is surviving.
-WARDING (zombie ward is OP as f***, utilize that rune if it fits your playstyle) -Side Stepping -Learning wall jumps/flashes -Kiting -Running. This may sound obvious but a lot of league players don't understand the power of simply running. run and ping for help, then herd them toward your allies. -Don't make risky moves that you aren't comfortable with! Just chill out, take it slow, play safe, and you'll learn what plays you can make that are no longer risky..because you know what you're doin now.
The key to just about everything in life, to become great at something you have to start slow. Slow and accurate, once you get the accuracy down, just kick up the pace a little, get a little faster with your combo's, but maintain accuracy. eventually you can pull off hella quick combos with super accuracy, don't just jump onto zed, yas, synd, or w/e and think you can pull off super flashy combos just by pointing and clicking and pressing some buttons, sounds easy, its not. takes practice.
Just take it slow, play safe, learn accuracy before speed, and you'll climb just fine. Good luck