Question

If 5|2x| = 60, then what are the values of x?

Answer 1

First, we divide both sides of the equation by 5. This gives

`(5|2x|)/(5)=(60)/(5)`
`|2x|=12`

Now, | 2x | can be written as 2 |x| and therefore, the above becomes

`2|x|=12`

Dividing both sides by 2 gives

`|x|=6`

Now, there are two numbers that have an absolute value of 6 and they are x = 6 and x =-6.

Hence, the values of x are x = -6 and x = 6.