Algebra Find the value of x.

Answer:
x = 12
Step-by-step explanation:
Theorem of Thales
[tex]\frac{28}{12} =\frac{x+(x-3)}{x-3}[/tex]
[tex]\frac{28}{12} =\frac{2x-3}{x-3}[/tex]
[tex]28(x-3)=12(2x-3)[/tex]
[tex]28x-84=24x-36[/tex]
[tex]28x-24x=-36+84[/tex]
[tex]4x=48[/tex]
[tex]x=48/4[/tex]
[tex]x=12[/tex]
Hope this helps