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.