To solve the equation \(-\frac{3}{5}(15x - 30) = 198\) step by step, you can follow this order:
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Distribute \(-\frac{3}{5}\) to both terms inside the parentheses: \[ -\frac{3}{5} \cdot 15x + \frac{3}{5} \cdot 30 = 198 \]
This simplifies to: \[ -9x + 18 = 198 \]
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Isolate the term involving \(x\) by subtracting 18 from both sides: \[ -9x = 198 - 18 \]
This simplifies to: \[ -9x = 180 \]
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Divide both sides by \(-9\) to solve for \(x\): \[ x = \frac{180}{-9} \]
This simplifies to: \[ x = -20 \]
So, the correct order is:
- Distribute \(-\frac{3}{5}\)
- Isolate the term involving \(x\)
- Divide to solve for \(x\)
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