To determine which equation has a solution of \( x = -8 \), we can substitute \(-8\) into each equation and see which one holds true.
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Equation: \( x - 8 = 0 \) \[ -8 - 8 = -16 \quad \text{(not 0)} \]
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Equation: \( x - 10 = 2 \) \[ -8 - 10 = -18 \quad \text{(not 2)} \]
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Equation: \( x + 3 = -11 \) \[ -8 + 3 = -5 \quad \text{(not -11)} \]
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Equation: \( x - 4 = -12 \) \[ -8 - 4 = -12 \quad \text{(true)} \]
The equation that has a solution of \( -8 \) is \( x - 4 = -12 \).