Question

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1.Solve for x. Show each step of the solution.
6(8-x)+36=102-4(3x+24)

2.Solve the inequality for x. Show each step of the solution.
6x>9(x-3)-15
Answer:

Answer 1

1. x = -13

2. x < 14

Explanation:

1. 6(8 - x) + 36 = 102 - 4(3x + 24)

48 - 6x + 36 = 102 - 12x - 96

Combine all x terms on one side and constants on the other side

12x - 6x = 102 - 48 - 36 -96

6x = -78

x = -13

2. 6x > 9(x - 3) - 15

6x > 9x - 27 - 15

6x-9x > -27-15

-3x > -42

`(-3x)/(-3) < (-42)/(-3)` ( reversing the inequality sign)

x < 14