Question

Correctly select the order of the steps to solve this equation. −3/5(15x−30)=198 (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1: Step 2: Step 3: Question 2 Solve for x. −3/5(15x−30)=198 (1 point) Responses x = -24 x = -24 x = -36 x = -36 x = -10 x = -10 x = -20

Answer 1

To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), we need to follow these steps systematically:

Step 1: Distribute \(-\frac{3}{5}\) across \((15x - 30)\).

• This gives us: \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = -9x + 18 \]
• Thus, the equation becomes: \[ -9x + 18 = 198 \]

Step 2: Move the constant term to the other side.

• Subtract \(18\) from both sides: \[ -9x = 198 - 18 \]
• This simplifies to: \[ -9x = 180 \]

Step 3: Solve for \(x\).

• Divide both sides by \(-9\): \[ x = \frac{180}{-9} = -20 \]

So, the correct order of steps is:

• Step 1: Distribute \(-\frac{3}{5}\).
• Step 2: Move the constant term.
• Step 3: Solve for \(x\).

For Question 2, the answer is:

• x = -20.