Solve for x.

Question

1/3(6x−9)=−33

(1 point)
Responses

x = -30

x = -15

x = -22

x = -19

Answer 1

To solve the equation

\[ \frac{1}{3}(6x - 9) = -33, \]

first, multiply both sides by 3 to eliminate the fraction:

\[ 6x - 9 = -99. \]

Next, add 9 to both sides:

\[ 6x = -99 + 9, \]

which simplifies to

\[ 6x = -90. \]

Now, divide both sides by 6:

\[ x = \frac{-90}{6} = -15. \]

Thus, the solution for \( x \) is

\[ \boxed{-15}. \]