Answer :
To solve the equation [tex]\( x + 7 = 23 \)[/tex], we want to find the value of [tex]\( x \)[/tex] that makes this statement true.
Here’s how you can do it step by step:
1. Identify the operation:
The equation involves addition, where [tex]\( 7 \)[/tex] is added to [tex]\( x \)[/tex].
2. Reverse the operation:
To isolate [tex]\( x \)[/tex], we need to do the reverse of addition. So, we'll subtract [tex]\( 7 \)[/tex] from both sides of the equation.
3. Perform the subtraction:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]
4. Simplify both sides:
On the left, [tex]\( 7 - 7 = 0 \)[/tex], so we are left with:
[tex]\[
x = 23 - 7
\][/tex]
5. Calculate the value:
Subtract [tex]\( 7 \)[/tex] from [tex]\( 23 \)[/tex], which gives:
[tex]\[
x = 16
\][/tex]
Therefore, the solution to the equation [tex]\( x + 7 = 23 \)[/tex] is [tex]\( x = 16 \)[/tex].
So, the correct choice is B. [tex]\( x = 16 \)[/tex].
Here’s how you can do it step by step:
1. Identify the operation:
The equation involves addition, where [tex]\( 7 \)[/tex] is added to [tex]\( x \)[/tex].
2. Reverse the operation:
To isolate [tex]\( x \)[/tex], we need to do the reverse of addition. So, we'll subtract [tex]\( 7 \)[/tex] from both sides of the equation.
3. Perform the subtraction:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]
4. Simplify both sides:
On the left, [tex]\( 7 - 7 = 0 \)[/tex], so we are left with:
[tex]\[
x = 23 - 7
\][/tex]
5. Calculate the value:
Subtract [tex]\( 7 \)[/tex] from [tex]\( 23 \)[/tex], which gives:
[tex]\[
x = 16
\][/tex]
Therefore, the solution to the equation [tex]\( x + 7 = 23 \)[/tex] is [tex]\( x = 16 \)[/tex].
So, the correct choice is B. [tex]\( x = 16 \)[/tex].
