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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 find the value of [tex]\( x \)[/tex] that makes the equation true in [tex]\( x + 7 = -9 \)[/tex], follow these steps:

1. Understand the equation: We need to isolate [tex]\( x \)[/tex] to find out what it equals.

2. Subtract 7 from both sides: Since [tex]\( x + 7 = -9 \)[/tex], we want to remove the [tex]\( +7 \)[/tex] from the left side to get [tex]\( x \)[/tex] by itself. To do this, subtract 7 from both sides of the equation.

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

3. Simplify both sides:

- The left side simplifies to [tex]\( x \)[/tex] because [tex]\( 7 - 7 = 0 \)[/tex], so it becomes just [tex]\( x \)[/tex].
- The right side is [tex]\( -9 - 7 = -16 \)[/tex].

4. Find the value of [tex]\( x \)[/tex]:

- The equation now is [tex]\( x = -16 \)[/tex].

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

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