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Which of the following equations has a solution of −8

?(1 point)
Responses

x + 3 = −11
x plus 3 equals negative 11

x − 4 = −12
x minus 4 equals negative 12

x − 8 = 0
x minus 8 equals 0

x − 10 = 2
x minus 10 equals 2

1 answer

To determine which equation has a solution of \( x = -8 \), we can substitute \(-8\) into each equation and see if it satisfies the equation.

  1. Equation: \( x + 3 = -11 \) \[ -8 + 3 = -5 \quad (\text{not } -11) \]

  2. Equation: \( x - 4 = -12 \) \[ -8 - 4 = -12 \quad (\text{this is true}) \]

  3. Equation: \( x - 8 = 0 \) \[ -8 - 8 = -16 \quad (\text{not } 0) \]

  4. Equation: \( x - 10 = 2 \) \[ -8 - 10 = -18 \quad (\text{not } 2) \]

The equation that has a solution of \( x = -8 \) is: \( x - 4 = -12 \).