Question

hiroto solved the equation $6 - 4|2x - 8| = -10$ for one solution. his work is shown below.$6 - 4|2x - 8| = -10$$-4|2x - 8| = -16$$|2x - 8| = 4$$2x - 8 = 4$$2x = 12$$x = 6$what is the other solution?○ $-6$○ $-4$○ $2$○ $10$

Explanation:

Step1: Use absolute value property

For $|2x-8|=4$, we also have $2x-8=-4$.

Step2: Isolate the variable term

Add 8 to both sides:
$2x = -4 + 8$
$2x = 4$

Step3: Solve for x

Divide by 2:
$x = \frac{4}{2}$

Answer:

2