Question

Solve the expression for x = -2.2x + 4[x - 2(3 + x)]

Answer 1

`-20`

Step-by-step explanation

To solve the expression for x = -2, substitute -2 for x in the expression and simplify:

`2x+4\mleft\lbrace x-2(3+x)_{}\mright\rbrace`

That is:

`\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}`

That is the solution of the expression for x = -2.