Solve the absolute value equation.
-$$- 2 | x - 4 | + 6 = - 8$$
A) $\{ - 3,11 \}$
B) $\{ - 6,14 \}$
C) $\{ 2,6 \}$
D) $\{ 3,5 \}$

Question

Quizplus · Accepted Answer

First, isolate the absolute value expression by subtracting 6 from both sides to get $-2|x - 4| = -14$. Then, divide both sides by -2 to get $|x - 4| = 7$. This leads to two equations: $x - 4 = 7$ and $x - 4 = -7$. Solving these gives $x = 11$ and $x = -3$, respectively.

Solve the Absolute Value Equation −2∣x−4∣+6=−8- 2 | x - 4 | + 6 = - 8−2∣x−4∣+6=−8

Solve the Absolute Value Equation $- 2 | x - 4 | + 6 = - 8$