To solve the equation [tex]\(-13x = 78\)[/tex], we need to isolate [tex]\(x\)[/tex]. Here are the steps:
1. The equation we start with is [tex]\(-13x = 78\)[/tex].
2. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by [tex]\(-13\)[/tex]. This is because [tex]\(x\)[/tex] is currently being multiplied by [tex]\(-13\)[/tex], and division is the inverse operation of multiplication.
3. When we divide both sides by [tex]\(-13\)[/tex], the equation becomes:
[tex]\[
x = \frac{78}{-13}
\][/tex]
4. Calculating the right-hand side, we have:
[tex]\[
\frac{78}{-13} = -6
\][/tex]
So, the solution for the equation [tex]\(-13x = 78\)[/tex] is:
[tex]\[
x = -6
\][/tex]
Thus, the correct answer is:
A. [tex]\(x = -6\)[/tex]
