Given the expression:
[tex]-(-3u+x)+2(-x-2u)[/tex]You can simplify it as follows:
1. Apply the Distributive Property. It is important to remember the Sign Rules for Multiplication:
[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}[/tex]Then:
[tex]=3u-x-(2)(x)-(2)(2u)[/tex][tex]=3u-x-2x-4u[/tex]2. Add the like terms (these are the terms that have the same variables with the same exponents):
[tex]=-3x-u[/tex]Hence, the answer is:
[tex]=-3x-u[/tex]