Question

correctly select the order of the steps to solve this equation.
-3/5(15x-30) = 198
step 1:
step 2:
step 3:
a. multiply both sides of the equation by -3/5
b. divide both sides of the equation by -3/5
c. divide both sides of the equation by 30
d. subtract 30 from both sides of the equation
e. add 15 to both sides of the equation
f. divide both sides of the equation by 15
g. multiply both sides of the equation by 9
h. add 30 to both sides of the equation
solve for x
-3/5 (15x-30) =198
a. x=-24
b. x=-36
c. x=-10
d. x=-20

Answer 1

To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), we follow the correct order of operations. Here are the steps correctly ordered:

**Step 1:** b. divide both sides of the equation by -3/5
This gives us:
\[ 15x - 30 = 198 \div (-\frac{3}{5}) \]
Calculating the right side:
\[ 198 \div (-\frac{3}{5}) = 198 \cdot (-\frac{5}{3}) = -330 \]
So now we have:
\[ 15x - 30 = -330 \]

**Step 2:** h. add 30 to both sides of the equation
This gives us:
\[ 15x = -330 + 30 \]
Calculating the right side:
\[ -330 + 30 = -300 \]
So now we have:
\[ 15x = -300 \]

**Step 3:** f. divide both sides of the equation by 15
This gives us:
\[ x = -300 \div 15 = -20 \]

Therefore, the final solution for \(x\) is \(x = -20\).

So, in summary:

- **Step 1:** b
- **Step 2:** h
- **Step 3:** f

The solution for \(x\) is:
**d. x = -20**.