Let's solve the given equation step-by-step:
The equation we have is:
[tex]\[ x + 7 = 23 \][/tex]
We need to isolate the variable [tex]\( x \)[/tex]. To do this, we need to get rid of the constant term on the left side of the equation. In this case, we need to remove the 7.
To remove the 7 from the left side, we subtract 7 from both sides of the equation:
[tex]\[ x + 7 - 7 = 23 - 7 \][/tex]
This simplifies to:
[tex]\[ x = 16 \][/tex]
So, the value of [tex]\( x \)[/tex] is:
[tex]\[ x = 16 \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{16} \][/tex]
Therefore, the correct option is:
B. [tex]\( x = 16 \)[/tex]