Answer :
To find the value of [tex]\( x \)[/tex] that makes the equation [tex]\( x + 7 = -9 \)[/tex] true, we need to solve for [tex]\( x \)[/tex]. Here's how we can do it step-by-step:
1. Identify the equation: The given equation is [tex]\( x + 7 = -9 \)[/tex].
2. Isolate the variable [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], subtract 7 from both sides of the equation. This will help us get [tex]\( x \)[/tex] by itself on the left side.
[tex]\[
x + 7 - 7 = -9 - 7
\][/tex]
3. Simplify both sides: When we perform the subtraction, we get:
[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. -16
1. Identify the equation: The given equation is [tex]\( x + 7 = -9 \)[/tex].
2. Isolate the variable [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], subtract 7 from both sides of the equation. This will help us get [tex]\( x \)[/tex] by itself on the left side.
[tex]\[
x + 7 - 7 = -9 - 7
\][/tex]
3. Simplify both sides: When we perform the subtraction, we get:
[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. -16