To solve the equation [tex]\( x + 6 = 24 \)[/tex], follow these steps:
1. Isolate [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex] on one side of the equation, you need to eliminate the constant term that is added to [tex]\( x \)[/tex]. In this case, the constant term is 6.
- Subtract 6 from both sides of the equation to maintain equality.
[tex]\[
x + 6 - 6 = 24 - 6
\][/tex]
2. Simplify:
- The left side of the equation simplifies to [tex]\( x \)[/tex] because [tex]\( +6 - 6 = 0 \)[/tex].
- The right side simplifies to [tex]\( 18 \)[/tex] since [tex]\( 24 - 6 = 18 \)[/tex].
[tex]\[
x = 18
\][/tex]
Therefore, the solution to the equation [tex]\( x + 6 = 24 \)[/tex] is [tex]\( x = 18 \)[/tex].
Given the options provided:
A. [tex]\( x = 20 \)[/tex]
B. [tex]\( x = 12 \)[/tex]
C. [tex]\( x = 30 \)[/tex]
D. [tex]\( x = 18 \)[/tex]
The correct answer is [tex]\( \boxed{18} \)[/tex], which corresponds to option D.
