I am trying to understand how to the equations for problem solving. I need to know how to translate problem into equations. I have read a have figure out problems that are already solve but, I can't seem to write them as equations.

Example: translate the statement " two fewer than ten times a number is 78". I write the problem as

10(x -2) = 78

10(x-2) = x + 78

10x - 20 = 78x

10 - x - 20 = 78 - x

10 - 20 = 78

10 = 78

This is my answer I don't know if this is correct or even if the process is right, I need help understanding the problem - solving.