Question

Solve the equation for x: |2x - 5| - 4 = -3 Hint: There will be two answers.

Answer 1

|2x - 5| - 4 = -3
As it is under the Mod. it would be either:
2x-5-4 = -3  OR  2x+5-4 = -3
2x-9 = -3  OR  2x + 1 = -3
2x = 9-3  OR  2x = -3-1
2x = 6  OR  2x = -4
x = 6/2  OR  x = -4/2
x = 3  OR  -2

So, the answers would be 3 & -2.

Hope this helps!

Answer 2

2x-5-4=3
2x-9=3
2x=3+9
2x=12
x=6

2x-5-4=-3
2x-9=-3
2x=-3+9
2x=6
x=3

The answers are 6 and 3