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

−3/5(15x−30)=198


(3 points)

1 answer

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

  1. Distribute: Start by distributing \(-\frac{3}{5}\) across the terms in the parentheses: \[ -\frac{3}{5} \cdot 15x + -\frac{3}{5} \cdot (-30) = 198 \] This gives: \[ -9x + 18 = 198 \]

  2. Isolate the variable term: Subtract 18 from both sides to get the variable term by itself: \[ -9x = 198 - 18 \] Which simplifies to: \[ -9x = 180 \]

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

To summarize the order of steps:

  1. Distribute.
  2. Isolate the variable term.
  3. Solve for \(x\).