3∣x+2∣=18 3|x + 2| = 18 3∣x+2∣=18
To solve 3∣x+2∣=18 3|x + 2| = 18 3∣x+2∣=18, first divide by 3 to get ∣x+2∣=6|x + 2| = 6 ∣x+2∣=6.
This absolute value equation means x+2=6x + 2 = 6 x+2=6 or x+2=−6x + 2 = -6 x+2=−6. Solving these:
1. x+2=6x + 2 = 6 x+2=6 leads to x=4x = 4 x=4.
2. x+2=−6x + 2 = -6 x+2=−6 leads to x=−8x = -8 x=−8.
Therefore, the solutions are x=4x = 4 x=4 and x=−8x = -8 x=−8.
Answers b + c