To solve the equation \( 5(2x - 8) = -30 \), we can follow these steps:
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Distribute the 5 on the left side: \[ 5 \cdot 2x - 5 \cdot 8 = -30 \] This simplifies to: \[ 10x - 40 = -30 \]
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Next, add 40 to both sides of the equation: \[ 10x - 40 + 40 = -30 + 40 \] This simplifies to: \[ 10x = 10 \]
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Now, divide both sides by 10: \[ x = \frac{10}{10} \] This simplifies to: \[ x = 1 \]
Therefore, the solution is: \[ x = 1 \]