Answer :
Sure! Let's solve the given equation step-by-step.
We are given the equation:
[tex]\[ +7 = -9 + x \][/tex]
We need to find the value of [tex]\( x \)[/tex] that makes this equation true.
1. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we can start by adding 9 to both sides of the equation. This will help us balance the equation and get [tex]\( x \)[/tex] by itself.
[tex]\[
+7 + 9 = -9 + x + 9
\][/tex]
2. Simplify both sides:
On the left side, we add [tex]\( 7 \)[/tex] and [tex]\( 9 \)[/tex]:
[tex]\[
7 + 9 = 16
\][/tex]
On the right side, [tex]\(-9\)[/tex] and [tex]\(+9\)[/tex] cancel each other out:
[tex]\[
-9 + 9 = 0
\][/tex]
So, the equation simplifies to:
[tex]\[
16 = x
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the equation true is [tex]\( 16 \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{16} \][/tex]
This corresponds to option D.
We are given the equation:
[tex]\[ +7 = -9 + x \][/tex]
We need to find the value of [tex]\( x \)[/tex] that makes this equation true.
1. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we can start by adding 9 to both sides of the equation. This will help us balance the equation and get [tex]\( x \)[/tex] by itself.
[tex]\[
+7 + 9 = -9 + x + 9
\][/tex]
2. Simplify both sides:
On the left side, we add [tex]\( 7 \)[/tex] and [tex]\( 9 \)[/tex]:
[tex]\[
7 + 9 = 16
\][/tex]
On the right side, [tex]\(-9\)[/tex] and [tex]\(+9\)[/tex] cancel each other out:
[tex]\[
-9 + 9 = 0
\][/tex]
So, the equation simplifies to:
[tex]\[
16 = x
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] that makes the equation true is [tex]\( 16 \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{16} \][/tex]
This corresponds to option D.
