Sure, let's solve the given equation step-by-step:
The equation given is:
[tex]\[
-13x = 78
\][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here's how we do it:
1. Divide both sides of the equation by [tex]\(-13\)[/tex] to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{78}{-13}
\][/tex]
2. Perform the division:
[tex]\[
x = -6
\][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\(-6\)[/tex].
Now, we check the multiple choice answers to find the correct one:
- A. [tex]\(x=-5\)[/tex]
- B. [tex]\(x=-6\)[/tex]
- C. [tex]\(x=6\)[/tex]
- D. [tex]\(x=5\)[/tex]
The correct answer is:
[tex]\[
\boxed{B}
\][/tex]
