Solve the inequality step by step. Explain, please, each step! -7-3x

First, we have to subtract 5x, both sides of the inequality:

-7-3x-5x<5x-5x+29

-7-8x<29

Now, we'll keep the unknown to the left side of the inequality and we'll multiply the inequality, both sides, by -1. Because of the negative value, the sign of the inequality will be changed, after multiplying.

7+8x>-29

Now, we'll subtract 7, both sides of the inequality, and we'll get:

7-7+8x>-29-7

8x>-36

Now, we'll divide the inequality by 8:

x>-36/8

x>-9/2

The solution of the inequality consists in all x values from the interval (-9/2, inf).