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

add an image

step-by-step explanation: