Respuesta :

Given:

[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]

To find:

The value of x.

Solution:

We have,

[tex]0.5(4x-8)+11=0.25(12x+20)-5[/tex]

Using distributive property, we get

[tex]0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5[/tex]

[tex]2x-4+11=3x+5-5[/tex]

[tex]2x+7=3x[/tex]

Subtract 2x from both sides.

[tex]7=3x-2x[/tex]

[tex]7=x[/tex]

Therefore, the value of x is 7.