To solve the equation [tex]\(3x - 9 = -33\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Add 9 to both sides of the equation to eliminate the constant term on the left side:
[tex]\[
3x - 9 + 9 = -33 + 9
\][/tex]
Simplifying this gives:
[tex]\[
3x = -24
\][/tex]
2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{3x}{3} = \frac{-24}{3}
\][/tex]
Simplifying this gives:
[tex]\[
x = -8
\][/tex]
Thus, the solution to the equation [tex]\(3x - 9 = -33\)[/tex] is [tex]\(x = -8\)[/tex].
Among the given options, the correct answer is:
[tex]\[
\boxed{-8}
\][/tex]
