What is the solution to this equation?

[tex]\[ -13x = 52 \][/tex]

A. [tex]\( x = -4 \)[/tex]

B. [tex]\( x = 65 \)[/tex]

C. [tex]\( x = -65 \)[/tex]

D. [tex]\( x = 4 \)[/tex]



Answer :

To solve the equation [tex]\(-13x = 52\)[/tex], we need to isolate the variable [tex]\(x\)[/tex]. Here are the steps to do that:

1. Given equation:
[tex]\[ -13x = 52 \][/tex]

2. Isolate [tex]\(x\)[/tex] by dividing both sides of the equation by [tex]\(-13\)[/tex]:
[tex]\[ x = \frac{52}{-13} \][/tex]

3. Perform the division on the right side:
[tex]\[ x = -4 \][/tex]

Therefore, the solution to the equation [tex]\(-13x = 52\)[/tex] is [tex]\(x = -4\)[/tex].

The correct answer is:
A. [tex]\(x = -4\)[/tex]