Inequality, need a step by step in order to show work-6(1 + 6x) < 6(1 - 5x)has to come out even

Yay my favorite:). First do distributive property so multiply first the -6 by the parenthesis which gives you -6-36x. Then do the other side multiply each number in the parenthesis by 6 which give you 6-30x. Next, you write -6 - 36x < 6 - 30x. After, you add 30x in both sides to keep the variable on one side this will give you -6 - 6x < 6 after this you add 6 on both sides of the inequality which then gives you -6x < 12. Now divide by -6 on both sides of the inequality. So when you divide by a negative always remember to change the symbol to the opposite. Therefore you end up with x > -2