Verified Answer :

4|0.5x - 2.5| = 0

|4(0.5x - 2.5)| = 0

|2x - 10| = 0 ⇔ 2x - 10 = 0    |add 10 to both sides

2x = 10    |divide both sides by 2

x = 5

Answer:

The solution of the given equation is 5.

Step-by-step explanation:

The given equation is

\(4|0.5x-2.5|=0\)

Divide both sides by 4.

\(|0.5x-2.5|=0\)

\(0.5x-2.5=0\)

Add 2.5 on both the sides.

\(0.5x-2.5+2.5=0+2.5\)

\(0.5x=2.5\)

Divide both sides by 0.5.

\(x=\frac{2.5}{0.5}\)

\(x=5\)

The value of x is 5.

Therefore the solution of the given equation is 5.