Respuesta :

dalendrk
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

[tex]4|0.5x-2.5|=0[/tex]

Divide both sides by 4.

[tex]|0.5x-2.5|=0[/tex]

[tex]0.5x-2.5=0[/tex]

Add 2.5 on both the sides.

[tex]0.5x-2.5+2.5=0+2.5[/tex]

[tex]0.5x=2.5[/tex]

Divide both sides by 0.5.

[tex]x=\frac{2.5}{0.5}[/tex]

[tex]x=5[/tex]

The value of x is 5.

Therefore the solution of the given equation is 5.

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