1. Solve for x. Show each step of the solution.

4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24)

2. Solve the inequality for x. Show each step of the solution.

12x >9 (2x - 3) - 15

3. Solve for b.

d=3a+3b

(1). x = - 10, (2). x < 7, (3). b = - a + 1/3d

Step-by-step explanation:

(1). 4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24) use distributive property

so 4.5 * (8 - x) = 36 - 4.5x + 36 and bring the rest down = 102 - 2.5 (3x + 24)

use distributive property again - 2.5 * (3x + 24) = - 7.5x - 60

36 - 4.5x + 336 = 102 - 7.5x - 60 add 36 to the 36 on the right side to the left side

72 - 4.5x = 102 - 7.5x - 60 subtract 102 - 60 = 42 72 - 4.5x = 42 - 7.5x

move the variable to the left-hand side and change its sign

72 - 4.5x + 7.5x = 42 now move the constant to the right-hand side and change its sign - 4.5x + 7.5x = 42 - 72

now collect like terms which is 3x = - 30 and divide 3 on both sides which gives u (x = - 10).

(2). 12x>9 (2x-3) - 15 use distributive property

so 9 * (2x-3) = 18x-7 and bring down the rest

12x> 18x-27-15 and calculate the difference which gives you 12x>18x-42

ion feel like doing the rest so imma just give the answers

2 is x<7 and 3 is b = - a + 1/3d