The problem consists of three parts:
Part 1)
Solve for x in:
6 ( 4 - x) = 48
apply distributive property:
24 - 6 x = 48
subtract 24 on both sides:
- 6 x = 48 - 24 = 24
divide both sides by "-6" (negative 6)
x = 24 / (-6)
x = - 4
Part 2)
Solve the inequality:
7 x - 8 < 6
add 8 on both sides:
7 x < 6 + 8
7 x < 14
divide both sides by 7:
x < 14 / 7
x < 2
Part 3)
solve for x in: 9 x + 6 = 42
subtract 6 from both sides:
9 x = 42 - 6 = 36
divide both sides by 9:
x = 36 / 9
x = 4