To solve the equation:
[tex]\[
-13x = 52
\][/tex]
we need to solve for [tex]\( x \)[/tex]. Here’s a step-by-step solution:
1. Start with the given equation:
[tex]\[
-13x = 52
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to divide both sides of the equation by [tex]\(-13\)[/tex]. This operation will give us:
[tex]\[
x = \frac{52}{-13}
\][/tex]
3. Now, divide [tex]\( 52 \)[/tex] by [tex]\(-13\)[/tex]:
[tex]\[
x = -4
\][/tex]
Hence, the solution to the equation [tex]\( -13x = 52 \)[/tex] is [tex]\( x = -4 \)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{A. \; x = -4}
\][/tex]
