ANSWER
[tex]-20[/tex]EXPLANATION
To solve the expression for x = -2, substitute -2 for x in the expression and simplify:
[tex]2x+4\mleft\lbrace x-2(3+x)_{}\mright\rbrace[/tex]That is:
[tex]\begin{gathered} 2(-2)+4\mleft\lbrace-2-2(3+(-2))\mright\rbrace \\ -4+4\mleft\lbrace-2-2(3-2)\mright\rbrace \\ -4+4\mleft\lbrace-2-2(1)\mright\rbrace \\ -4+4\mleft\lbrace-2-2\mright\rbrace \\ -4+4\mleft\lbrace-4\mright\rbrace \\ -4-16 \\ -20 \end{gathered}[/tex]That is the solution of the expression for x = -2.