Solve for $x$ and check.

$4x+8(x-9)=4(x-16)$

What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice.

A$.$ The solution set is $.$

$($Type an integer or a simplified fraction.$)$

B$.$ The solution set is $\{$all real numbers $\},$ so the equation is an identity.

C$.$ The solution set is $\frac{O}{?},$ so the equation is a contradication.