Answer :
To solve the equation [tex]\( x + 7 = 23 \)[/tex], we need to find the value of [tex]\( x \)[/tex]. Here's how you can do it step-by-step:
1. Understand the Equation: The equation states that when 7 is added to [tex]\( x \)[/tex], the result is 23.
2. Isolate [tex]\( x \)[/tex]: To find the value of [tex]\( x \)[/tex], we need to get [tex]\( x \)[/tex] by itself on one side of the equation. We can do this by undoing the addition of 7.
3. Subtract 7 from Both Sides: To remove the 7 added to [tex]\( x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]
4. Simplify: On the left side, [tex]\( 7 - 7 = 0\)[/tex], so it becomes:
[tex]\[
x = 23 - 7
\][/tex]
5. Calculate: Subtract 7 from 23:
[tex]\[
x = 16
\][/tex]
So, the value of [tex]\( x \)[/tex] is 16. Therefore, the answer is [tex]\( \boxed{16} \)[/tex].
Thus, the correct answer is option D: [tex]\( x = 16 \)[/tex].
1. Understand the Equation: The equation states that when 7 is added to [tex]\( x \)[/tex], the result is 23.
2. Isolate [tex]\( x \)[/tex]: To find the value of [tex]\( x \)[/tex], we need to get [tex]\( x \)[/tex] by itself on one side of the equation. We can do this by undoing the addition of 7.
3. Subtract 7 from Both Sides: To remove the 7 added to [tex]\( x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = 23 - 7
\][/tex]
4. Simplify: On the left side, [tex]\( 7 - 7 = 0\)[/tex], so it becomes:
[tex]\[
x = 23 - 7
\][/tex]
5. Calculate: Subtract 7 from 23:
[tex]\[
x = 16
\][/tex]
So, the value of [tex]\( x \)[/tex] is 16. Therefore, the answer is [tex]\( \boxed{16} \)[/tex].
Thus, the correct answer is option D: [tex]\( x = 16 \)[/tex].
