Question

I forgot how to do this. Can someone tell me how?

Answer 1

Hello there!

8 = |5 - x|

Then flip it

|-x + 5| = 8

Then solve for the absolute value

We know either -x + 5 = 8 or -x+5 = -8

Let's solve the first possibility,which is -x + 5 = 8

-x + 5 = 8

-x= 8 - 5

-x = 3
Remember that we cannot leave the variable with a negative sign. To turn it into a positive sign, we need to divide both sides by -1

-x/-1 = 3/-1

x= -3

Now let's solve the second possibility which is -x+ 5 = -8

-x + 5 = -8

-x = -8 - 5

-x = -13

again, we cannot leave it with the negative sign so we gonna do the same thing which is divide both sides by -1

-x/-1 = -13/-1

x = 13

Thus, the answer is x= -3 or x = 13

The correct answer is option D

Best of luck with your studies!

Answer 2

Hey there, CrisisOnCats!

Absolute value is when any value that's inside the box, positive or negative, will always come out as positive.
For this one, you solve it as a normal equation, solving for x.
So, 8 = 5 - x
8-5 = 5-5 - x
3 = -x
x = -3
One value can be -3
To find the other value, just find any value that's equal to 8 when added or subtracted from 5, negative or positive.
We have 13 in this case.
5 - 13 is equals to -8 but since it's absolute value, it would be positive 8.
So, the answer is D

Thank you for using Brainly.
See you soon!