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What are solutions for |3(x+4)|+8=23

User Mmierins
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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
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4 votes

Answer:10

Explanation:

User Vinnyjames
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