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PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

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Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

Part A)

2(x - 3) = 3x - 3

open the parenthesis

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

subtract 2x from both sides

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

add 3 to both sides

-6 + 3 = x

-3 = x

Part B)

|2x + 6| = 8

split this into two equations:

2x + 6 = 8

&

2x + 6 = -8

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

Part C)

-5(x + 1) > 30

open the parenthesis

-5x - 5 > 30

add 5 to both sides

-5x > 35

divide both sides by -5

x > -7

since you divided by a negative, flip the sign.

x < -7

Part D)

f(x) = 4x - 3

substitute x for 5

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

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