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

Answer 1

Solve the second case of the absolute value:

2x − 8 = −4
2x = 4
x = 2

So the other solution is 2.