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------------------------------------------------ What is the solution to this equation?

[tex]x + 7 = 23[/tex]

A. [tex]x = 30[/tex]
B. [tex]x = 16[/tex]
C. [tex]x = 14[/tex]
D. [tex]x = 29[/tex]

To solve the equation [tex]$ x + 7 = 23 $[/tex], we want to find the value of [tex]$ x $[/tex] that makes this statement true.

Here’s how you can do it step by step:

1. Identify the operation:
The equation involves addition, where [tex]$ 7 $[/tex] is added to [tex]$ x $[/tex].

2. Reverse the operation:
To isolate [tex]$ x $[/tex], we need to do the reverse of addition. So, we'll subtract [tex]$ 7 $[/tex] from both sides of the equation.

3. Perform the subtraction:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]

4. Simplify both sides:
On the left, [tex]$ 7 - 7 = 0 $[/tex], so we are left with:
[tex]\[
x = 23 - 7
\][/tex]

5. Calculate the value:
Subtract [tex]$ 7 $[/tex] from [tex]$ 23 $[/tex], which gives:
[tex]\[
x = 16
\][/tex]

Therefore, the solution to the equation [tex]$ x + 7 = 23 $[/tex] is [tex]$ x = 16 $[/tex].

So, the correct choice is B. [tex]$ x = 16 $[/tex].