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What is the solution to this equation?

[tex]\[ -13x = 78 \][/tex]

A. [tex]\( x = -5 \)[/tex]

B. [tex]\( x = -6 \)[/tex]

C. [tex]\( x = 6 \)[/tex]

D. [tex]\( x = 5 \)[/tex]

Sagot :

GinnyAnswer
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]
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