To solve the equation [tex]\(-15x = 90\)[/tex], follow these steps:
1. Isolate [tex]\( x \)[/tex]:
To isolate the variable [tex]\( x \)[/tex], you need to divide both sides of the equation by -15. This allows you to simplify the equation and solve for [tex]\( x \)[/tex].
2. Divide both sides:
[tex]\[
x = \frac{90}{-15}
\][/tex]
3. Simplify the right-hand side:
[tex]\[
x = -6
\][/tex]
Thus, the solution to the equation [tex]\(-15x = 90\)[/tex] is [tex]\( x = -6 \)[/tex].
The correct answer is:
D. [tex]\( x = -6 \)[/tex]