Correctly select the order of the steps to solve this equation.

Question

−3/5(15x−30)=198

responses:

Multiply both sides of the equation by - 3/5

Divide both sides of the equation by - 3/5

Divide both sides of the equation by 30

Subtract 30 from both sides of the equation.

Add 15 to both sides of the equation.

Divide both sides of the equation by 15.

Multiply both sides of the equation by 9.

Add 30 to both sides of the equation.

Answer 1

To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), follow these steps in order:

1. Divide both sides of the equation by -3/5: This will eliminate the fraction on the left side. \[ 15x - 30 = 198 \div -\frac{3}{5} \]

2. Multiply both sides of the equation by -5/3 (this is essentially the same as dividing by -3/5).

3. Add 30 to both sides of the equation: This will isolate the term containing \(x\). \[ 15x = \text{result} + 30 \]

4. Divide both sides of the equation by 15: This will solve for \(x\). \[ x = \text{result} / 15 \]

Putting this in order based on your options:

1. Divide both sides of the equation by -3/5
2. Add 30 to both sides of the equation
3. Divide both sides of the equation by 15

So, the correct steps simplified are:

1. Divide both sides by -3/5
2. Add 30 to both sides
3. Divide by 15

The rest of the steps either do not apply or come from manipulating the values after these fundamental operations. The other options are irrelevant with respect to the original equation you provided.