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

Question

−3/5(15x−30)=198

Answer 1

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

1. Distribute the \(-\frac{3}{5}\) to both terms inside the parentheses: \[ -\frac{3}{5} \times 15x + \frac{3}{5} \times 30 = 198 \] This gives you: \[ -9x + 18 = 198 \]

2. Subtract 18 from both sides to isolate terms involving \(x\): \[ -9x + 18 - 18 = 198 - 18 \] This simplifies to: \[ -9x = 180 \]

3. Divide both sides by -9 to solve for \(x\): \[ x = \frac{180}{-9} \] This simplifies to: \[ x = -20 \]

Thus, the correct order of steps is as follows:

1. Distribute \(-\frac{3}{5}\).
2. Combine like terms (subtract 18).
3. Divide by -9 to solve for \(x\).

Answer 2

there's no disbrute -3/5

Answer 3

I apologize for any confusion in my previous response. Let's solve the equation step-by-step without incorrectly distributing \(-\frac{3}{5}\) inappropriately.

Given Equation: \[ -\frac{3}{5}(15x - 30) = 198 \]

Step 1: Eliminate the fraction by multiplying both sides by \(-\frac{5}{3}\) (the reciprocal of \(-\frac{3}{5}\)). \[ 15x - 30 = 198 \times -\frac{5}{3} \] Calculating the right side: \[ 198 \times -\frac{5}{3} = -330 \] So, we now have: \[ 15x - 30 = -330 \]

Step 2: Add 30 to both sides to isolate the term with \(x\): \[ 15x - 30 + 30 = -330 + 30 \] This simplifies to: \[ 15x = -300 \]

Step 3: Divide both sides by 15 to solve for \(x\): \[ x = \frac{-300}{15} \] This simplifies to: \[ x = -20 \]

Final Answer:

The solution to the equation \(-\frac{3}{5}(15x - 30) = 198\) is: \[ x = -20 \]

Again, I apologize for the oversight, and I appreciate your patience.