#1**+1 **

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

Guest May 7, 2017