To solve the equation [tex]\( x + 11 = 24 \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side. Here’s the step-by-step process:
1. Start with the given equation:
[tex]\[
x + 11 = 24
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\( 11 \)[/tex] that is added to [tex]\( x \)[/tex]. To do this, subtract [tex]\( 11 \)[/tex] from both sides of the equation:
[tex]\[
x + 11 - 11 = 24 - 11
\][/tex]
3. Simplify both sides:
[tex]\[
x = 13
\][/tex]
Thus, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( x + 11 = 24 \)[/tex] is [tex]\( x = 13 \)[/tex].
Therefore, the correct option is:
C. [tex]\( x = 13 \)[/tex]