High School

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 this equation true.

Here’s how you can do it step-by-step:

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

2. To isolate [tex]\(x\)[/tex], you need to get rid of the 7 that is added to [tex]\(x\)[/tex]. You can do this by subtracting 7 from both sides of the equation. This way, you maintain the balance of the equation.
[tex]\[
x + 7 - 7 = -9 - 7
\][/tex]

3. Simplify both sides. On the left side, [tex]\(7 - 7\)[/tex] becomes 0, so you are left with just [tex]\(x\)[/tex]. On the right side, [tex]\(-9 - 7\)[/tex] equals [tex]\(-16\)[/tex].
[tex]\[
x = -16
\][/tex]

Therefore, the value of [tex]\(x\)[/tex] that makes the equation [tex]\(x + 7 = -9\)[/tex] true is [tex]\(-16\)[/tex].

The correct answer is A. -16.