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What is the solution to this equation?

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

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

Answer :

To solve the equation [tex]\( x + 7 = 23 \)[/tex], you need to isolate [tex]\( x \)[/tex] on one side of the equation. Here's how you can do it step-by-step:

1. Identify what's being added to [tex]\( x \)[/tex]: In this equation, 7 is being added to [tex]\( x \)[/tex].

2. To isolate [tex]\( x \)[/tex], do the opposite operation: Since 7 is being added, you should subtract 7 from both sides of the equation. This will help to cancel out the +7 on the left side.

3. Subtract 7 from both sides:

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

4. Simplify both sides:

- On the left side, [tex]\( x + 7 - 7 \)[/tex] simplifies to [tex]\( x \)[/tex].
- On the right side, [tex]\( 23 - 7 \)[/tex] equals 16.

5. Conclusion: The value of [tex]\( x \)[/tex] is 16.

So, the solution to the equation [tex]\( x + 7 = 23 \)[/tex] is [tex]\( x = 16 \)[/tex]. Therefore, the correct answer is option B: [tex]\( x = 16 \)[/tex].

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