Solve for x over the real numbers:
4 abs(0.5 x - 2.5) = 0
4 abs(0.5 x - 2.5) = 4 abs(x/2 - 5/2):
4 abs(x/2 - 5/2) = 0
Divide both sides by 4:
abs(x/2 - 5/2) = 0
Eliminate the absolute value:
1 (x/2 - 5/2) = 0
Divide both sides by 1:
x/2 - 5/2 = 0
Bring x/2 - 5/2 together using the common denominator 2:
(x - 5)/2 = 0
Multiply both sides by 2:
x - 5 = 0
Add 5 to both sides:
Answer: | x = 5