To solve the equation [tex]\(-13x = 78\)[/tex], follow these steps:
1. Identify the equation: The given equation is [tex]\(-13x = 78\)[/tex].
2. Isolate the variable [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], divide both sides of the equation by [tex]\(-13\)[/tex]:
[tex]\[
\frac{-13x}{-13} = \frac{78}{-13}
\][/tex]
3. Simplify the equation: On the left side, [tex]\(\frac{-13x}{-13}\)[/tex] simplifies to [tex]\(x\)[/tex], and on the right side, [tex]\(\frac{78}{-13}\)[/tex] simplifies to [tex]\(-6\)[/tex]:
[tex]\[
x = \frac{78}{-13}
\][/tex]
4. Calculate the value: Performing the division:
[tex]\[
x = \frac{78}{-13} = -6
\][/tex]
Hence, the solution to the equation [tex]\(-13x = 78\)[/tex] is:
[tex]\[
x = -6
\][/tex]
Therefore, the correct answer is:
A. [tex]\(x = -6\)[/tex]
