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

− 3/5(15x−30)=198

1 answer

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

  1. Distribute \(-\frac{3}{5}\) across the parentheses: \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \]

  2. Calculate the distribution: \[ -9x + 18 = 198 \]

  3. Isolate the variable term by subtracting 18 from both sides: \[ -9x = 198 - 18 \] \[ -9x = 180 \]

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

  5. Final Solution: Thus, the solution to the equation is: \[ x = -20 \]

So the correct order of the steps is:

  1. Distribute.
  2. Calculate the distribution.
  3. Isolate the variable.
  4. Divide to solve for \(x\).