College

What is the solution to this equation?

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

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

Answer :

Sure, let's solve the equation [tex]\(x + 7 = 23\)[/tex] step by step.

1. Identify the equation:
The given equation is:
[tex]\[
x + 7 = 23
\][/tex]

2. Isolate the variable ([tex]\(x\)[/tex]):
To solve for [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. We can do this by subtracting 7 from both sides of the equation.

3. Subtract 7 from both sides:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]
Simplifying this, we get:
[tex]\[
x = 16
\][/tex]

So, the solution to the equation [tex]\(x + 7 = 23\)[/tex] is [tex]\(x = 16\)[/tex].

Therefore, the correct answer is:
[tex]\[
\boxed{C. x = 16}
\][/tex]