By solving an absolute value equation, we will see that the two solutions are:
x = 49 and x = -41
First, we need to write the equation, we will get:
(1/5)*|x - 4| - 3 = 6
That is an absolute value equation, first let's isolate the absolute value part on the left side, so we get:
(1/5)*|x - 4| = 6+ 3 = 9
|x - 4| = 9*5 = 45
Now we have the simpler equation:
|x - 4| = 45
Which can be written in two ways:
x - 4 = 45
x - 4 = -45
So we will have two solutions for x:
x = 45 + 4 = 49
x = -45 + 4 = -41
These are the two possible values of x.
If you want to learn more about absolute value equations:
https://brainly.com/question/5012769
#SPJ1
