To determine which of the given equations has the solution set \({-3}\), we can solve each equation and see which one results in \(x = -3\).
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For the equation \(4x + 8 = 4\): \[ 4x + 8 = 4 \] \[ 4x = 4 - 8 \] \[ 4x = -4 \] \[ x = -1 \]
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For the equation \(4x - 8 = -4\): \[ 4x - 8 = -4 \] \[ 4x = -4 + 8 \] \[ 4x = 4 \] \[ x = 1 \]
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For the equation \(4x + 8 = -4\): \[ 4x + 8 = -4 \] \[ 4x = -4 - 8 \] \[ 4x = -12 \] \[ x = -3 \]
The equation that has the solution set \({-3}\) is the third one: \(4x + 8 = -4\).