What is the justification for each step in solving the inequality?

-7 (3+8x) + 5x≤1-62x

Distribute - 7 because of math

-21-56x+5x≤1-62x

add like terms because you aint chaingin nothing

-21-51x≤1-62x

add 62x to both sides (addition property of equality, where a=a and b=b, a+b=a+b) and also (addative inverse, a + (-a) = 0) that turns the - 62x to 0

-21+11x≤1

add 21 to both sides (additiona proerty of equality and addativeinverse)

11x≤22

divide both sides by 11 (division property of equality, if a=a and b=b, then a/b=a/b)

x≤2