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 \( \frac{1}{3}(6x - 9) = -33 \), follow these steps:

1. Start by multiplying both sides of the equation by 3 to eliminate the fraction:

\[ 6x - 9 = -33 \cdot 3 \]

This simplifies to:

\[ 6x - 9 = -99 \]

2. Next, add 9 to both sides to isolate the term with \( x \):

\[ 6x = -99 + 9 \]

This simplifies to:

\[ 6x = -90 \]

3. Finally, divide both sides by 6 to solve for \( x \):

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

This simplifies to:

\[ x = -15 \]

Thus, the solution is:

\[ \boxed{-15} \]