To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), follow these steps in order:
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Distribute \(-\frac{3}{5}\) across the parentheses: \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \]
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Calculate the distribution: \[ -9x + 18 = 198 \]
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Isolate the variable term by subtracting 18 from both sides: \[ -9x = 198 - 18 \] \[ -9x = 180 \]
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Divide both sides by -9 to solve for \(x\): \[ x = \frac{180}{-9} \] \[ x = -20 \]
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Final Solution: Thus, the solution to the equation is: \[ x = -20 \]
So the correct order of the steps is:
- Distribute.
- Calculate the distribution.
- Isolate the variable.
- Divide to solve for \(x\).
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