Solve the equation.
-$$| 3 x + 2 | + 9 = 15$$
A) $\left\{ \frac { 4 } { 3 } , - \frac { 8 } { 3 } \right\}$
B) $\varnothing$
C) $\{ 2 , - 4 \}$
D) $\left\{ - \frac { 4 } { 3 } , \frac { 8 } { 3 } \right\}$

Question

Quizplus · Accepted Answer

First, subtract 9 from both sides to isolate the absolute value: $| 3x + 2 | = 6$. Then, solve the equation for both the positive and negative scenarios: $3x + 2 = 6$ and $3x + 2 = -6$. Solving these gives $x = \frac{4}{3}$ and $x = -\frac{8}{3}$, respectively.

Solve the Equation ∣3x+2∣+9=15| 3 x + 2 | + 9 = 15∣3x+2∣+9=15

Solve the Equation $| 3 x + 2 | + 9 = 15$