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What is the solution to this equation?

[tex]\[ x + 6 = 24 \][/tex]

A. [tex]\[ x = 20 \][/tex]

B. [tex]\[ x = 12 \][/tex]

C. [tex]\[ x = 30 \][/tex]

D. [tex]\[ x = 18 \][/tex]

Sagot :

GinnyAnsweridn
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.
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