Let's solve each equation step-by-step:
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For the equation \(-12 + x = 48\): \[ x = 48 + 12 \] \[ x = 60 \]
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For the equation \(x - 25 = 5\): \[ x = 5 + 25 \] \[ x = 30 \]
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For the equation \(4x = -24\): \[ x = \frac{-24}{4} \] \[ x = -6 \]
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For the equation \(-6x = -78\): \[ x = \frac{-78}{-6} \] \[ x = 13 \]
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For the equation \(\frac{x}{8} = -8\): \[ x = -8 \times 8 \] \[ x = -64 \]
To summarize, the solutions are:
- \(x = 60\)
- \(x = 30\)
- \(x = -6\)
- \(x = 13\)
- \(x = -64\)