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] for [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the equation. Here are the steps:

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

2. To isolate [tex]\(x\)[/tex], we need to get rid of the [tex]\(+7\)[/tex] on the left side. We can do this by subtracting 7 from both sides of the equation.

3. Subtract 7 from both sides:
[tex]\[
x + 7 - 7 = -9 - 7
\][/tex]

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

So, the value of [tex]\(x\)[/tex] that makes the equation true is [tex]\(-16\)[/tex]. Therefore, the correct answer is:

A. [tex]\(-16\)[/tex]