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].
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].
