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?

Answer 1

Another solution:
after: | 2 x - 8 | = 4
2 x - 8 = -4
2 x = - 4 + 8
2 x = 4
x = 4 : 2
x = 2
The answer is : x = 2 and x = 6

Answer 2

x=2 is the other solution.

Explanation:

We have been given the equation: 6-4|2x-8|= -10

we will do it by collecting the like terms so the equation will become by shifting 6 on right hand side

-4|2x-8|= -10-6

After simplifying it in first step

-4|2x-8|= -16

We will define the modulus function which is:

|x|=x or -x

So we will consider the negative case

-4(-)(2x-8)=-16

8x-32= -16

8x= -16+32

8x=16

x=2 is the other solution