|Provide the value for x in the solution
boxes. Put the higher value in the first box. If impossible, put -1 in BOTH solution boxes. See notes at the bottom of the page.
|7| is 7
|-7| is 7
Absolute value is ALWAYS a positive number because it represents the distance from zero on a number line
|x|=2 by dividing by 2
which means x is 2 OR -2.
This is impossible. |x|=-5. Absolute value cannot be negative. If you get such an answer indicate it does not have a solution by putting -1 in BOTH solution boxes. This is not the answer, it simply indicates you know it is not possible.
What about this?
5|2x+1|=35 (subtract 6 from both sides)
|2x+1|=7 (divide by 5)
2x+1=7 OR 2x+1=-7 (absolute value!)
2x=6 OR 2x=-8 (subtract 1 from both sides)
x=3 OR x=-4 (divide by 2)