-4x+3+5=-6x-4

Let's check your answer -6=x

So substitute this (-6) for x in

-4x+3+5=-6x-4

We get:

-4(-6)+3+5=-6(-6)-4

    24+3+5=36-4

        32=32

So you must be right.  You can always check
your solution to see if it's correct by
substituting what you got x equal to, placed
in parentheses, for x and then simplify.
If you end up with the same number on both sides 
then you know you have solved the problem 
correctly, and if you don't you'll know you 
haven't.

Edwin