Solving Absolute Value Equations?

8+|x-1|=20. First get the absolute value alone. Subtract 8

|x-1|=12. Now to remove the bars, you have to consider that the argument could be positive or negative.

So x-1=12 or x-1=-12

X= 13 or -11

Now you should always check:)

Hoping this helps!

8+|x-1|=20

In any absolute value equation you MUST get rid of anything outside the absolute valu bars FIRST

8+|x-1|=20

-8...........-8

abs(x-1)=12.............since abs of 12 is 12 and the abs of -12 is 12

.......................you set what is in the absolute value bars equal to 12 and equal to -12

x-1=12...............x-1=-12................now add 1 to each side of both equations

x=13..................x=-11

the absolute value of any number is positive, so the answer must be positive :)

|X-1|=12

x-1=+-12

x-1=12, x-1=-12

x=13, x=-11