If 6x - 3 is subtracted from 3x + 8 the we can writte it like:
[tex]3x+8-(6x-3)[/tex]then we can multiply the - into the parenthesis so:
[tex]3x+8-6x+3[/tex]then we simplify the term with an x and the term with constants so this is the difference:
[tex]-3x+11[/tex]