Solve for x.

Question

1/3(6x−9)=−33

(1 point)
Responses

x = -30
x = -30

x = -15
x = -15

x = -22
x = -22

x = -19
x = -19

Answer 1

To solve the equation

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

we first eliminate the fraction by multiplying both sides of the equation by 3:

\[ 6x - 9 = -33 \times 3. \]

Calculating the right side,

\[ -33 \times 3 = -99, \]

so we rewrite the equation as:

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

Next, add 9 to both sides:

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

which simplifies to:

\[ 6x = -90. \]

Now, divide both sides by 6 to solve for \(x\):

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

Thus, the solution is:

\[ \boxed{-15}. \]