Question

Solve 3|x -6| = 12.

A. x= 10 or x=12.

B. No solutions

C. x = 2

D. x= 4 or x = -4

Pls help...

Answer 1

`\boxed{C. \: x = 2}`

Explanation:

`= > Solve \: for \: x \: over \: the \: integers: \\ 3 |x - 6| = 12 \\ \\ = > Divide \: both \: sides \: by \: 3: \\ |x - 6| = 4 \\ \\ = > Split \: the \: equation \: into \: two \: possible \: cases: \\ x - 6 = 4 \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: x - 6 = -4 \\ \\ </p><p> = > Add \: 6 \: to \: both \: sides: \\ </p><p>x = 10 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: x = 2 \\ \\ Answer: x = 10 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: x = 2`