College

Select the correct answer.

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.

Here's a step-by-step solution:

1. Identify the equation:
[tex]\( x + 7 = -9 \)[/tex]

2. Isolate variable [tex]\( x \)[/tex]:
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:
On the left side, [tex]\( +7 \)[/tex] and [tex]\( -7 \)[/tex] cancel each other out, leaving [tex]\( x \)[/tex].
On the right side, [tex]\(-9 - 7\)[/tex] simplifies to [tex]\(-16\)[/tex].

So, we have:
[tex]\[ x = -16 \][/tex]

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

The correct answer is:
A. -16