Answer :

The given expression is,

[tex]\begin{gathered} \frac{1}{2}(4-6x)=23 \\ 4-6x=46 \\ -6x=42 \\ x=-7 \end{gathered}[/tex]

Thus, the value of x is -7.

Now let us put -7 for x,

[tex]\frac{1}{2}(4-6\times(-7))=\frac{1}{2}(4+42)=23[/tex]