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]