help me here in this equation and tell me how to check it to know if solution is the answer

ok so first step is to get rid of x
than you want to subtract x from 4/5x
than you want to minus 7 from 9 and you get 2
now times 5 to both sides like like this
4/5x5 and 2x5=
4x=10
x=2.5
i hope this helps you
[tex]\frac{4}{5} x \frac{5}{1} = \frac{4}{1} =4x[/tex]
then you have [tex]2 x 5= 10[/tex]
so then you will have [tex]4x=10\\10divide by 4 =\\2.5\\x=2.5[/tex]