228k views
5 votes
What are solutions for |3(x+4)|+8=23

User Mmierins
by
8.4k points

2 Answers

4 votes
To solve the equation |3(x+4)| + 8 = 23, you can follow these steps:

1. Subtract 8 from both sides of the equation:

|3(x+4)| = 23 - 8
|3(x+4)| = 15

2. Now, you have an absolute value equation. You need to consider both the positive and negative cases:

a) 3(x+4) = 15

b) -(3(x+4)) = 15

3. Solve each case separately:

a) 3(x+4) = 15

Divide both sides by 3:

x + 4 = 15/3
x + 4 = 5

Subtract 4 from both sides:

x = 5 - 4
x = 1

b) -(3(x+4)) = 15

Divide both sides by -3:

x + 4 = 15/(-3)
x + 4 = -5

Subtract 4 from both sides:

x = -5 - 4
x = -9

So, the solutions to the equation |3(x+4)| + 8 = 23 are x = 1 and x = -9.
User Luke Melia
by
7.6k points
4 votes

Answer:10

Explanation:

User Vinnyjames
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories