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What is the solution to the following equation?

[tex]\[ x + 11 = 24 \][/tex]

A. [tex]\[ x = 35 \][/tex]

B. [tex]\[ x = 29 \][/tex]

C. [tex]\[ x = 13 \][/tex]

D. [tex]\[ x = 17 \][/tex]


Sagot :

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]