College

Which value of [tex]$x$[/tex] makes the equation true?

[tex]$x + 7 = -9$[/tex]

A. -16
B. -2
C. 2
D. 16

Answer :

To solve the equation [tex]\( x + 7 = -9 \)[/tex], we need to find the value of [tex]\( x \)[/tex] that makes the equation true.

1. Start with the given equation:
[tex]\[
x + 7 = -9
\][/tex]

2. To isolate [tex]\( x \)[/tex], subtract 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = -9 - 7
\][/tex]

3. Simplify both sides:
[tex]\[
x = -16
\][/tex]

Now we have the potential answer: [tex]\( x = -16 \)[/tex].

Let's verify by substituting this value back into the original equation to ensure it satisfies the equation:
- Substitute [tex]\( x = -16 \)[/tex] into the equation:
[tex]\[
-16 + 7 = -9
\][/tex]

- Simplify:
[tex]\[
-9 = -9
\][/tex]

This is a true statement, so [tex]\( x = -16 \)[/tex] is the correct solution.

Thus, the value of [tex]\( x \)[/tex] that makes the equation true is:
- A. -16