Question

correctly select the order of steps to solve this equation 1/3(6x-9) =-33
step 1:
step 2:
step 3:
a. add 1/3 to both sides of the equation
b. subtract 1/3 from both sides of the equation
c. divide by 1/3 on both sides of the equation
d. multiply by 1/3 on both sides of the equation
e. subtract 6 from both sides of the equation
f. add 9 to both sides of the equation
g. subtract 9 from both sides of the equation
h. divide by 6 on both sides of the equation
i. multiply by 6 on both side of the equation.
solve for x 1/3 (6x-9) =-33
a. x=-30
b. x=-15
c. x=-22
d. x=-19

Answer 1

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

**Step 1:** Multiply both sides by \( 3 \) to eliminate the fraction.
**Correct Choice:** (d) multiply by 3 on both sides of the equation.

This gives:
\[ 6x - 9 = -99 \]

**Step 2:** Add \( 9 \) to both sides to isolate the term containing \( x \).
**Correct Choice:** (f) add 9 to both sides of the equation.

This gives:
\[ 6x = -90 \]

**Step 3:** Divide by \( 6 \) to solve for \( x \).
**Correct Choice:** (h) divide by 6 on both sides of the equation.

This gives:
\[ x = -15 \]

So, the correct answer for \( x \) is:
**b.** \( x = -15 \)

### Summary of Steps:
1. (d) multiply by 3 on both sides of the equation.
2. (f) add 9 to both sides of the equation.
3. (h) divide by 6 on both sides of the equation.