Solve the Absolute Value Equation: 3|x + 2| = 18

3x+2=18 3|x + 2| = 18

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1

Understand the problem

3x+2=18 3|x + 2| = 18

2

Step-by-step solution

To solve 3x+2=18 3|x + 2| = 18 , first divide by 3 to get x+2=6|x + 2| = 6 .

This absolute value equation means x+2=6x + 2 = 6 or x+2=6x + 2 = -6 . Solving these:

1. x+2=6x + 2 = 6 leads to x=4x = 4 .

2. x+2=6x + 2 = -6 leads to x=8x = -8 .

Therefore, the solutions are x=4x = 4 and x=8x = -8 .

3

Final Answer

Answers b + c

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\( \left|x\right|=3 \)

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