Which of the following equations has a solution of −8

?(1 point)
Responses

x − 8 = 0
x minus 8 equals 0

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

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

x − 10 = 2
x minus 10 equals 2

1 answer

To determine which equation has a solution of \( x = -8 \), let's solve each of the given equations:

  1. Equation: \( x - 8 = 0 \)

    • Solution: \( x = 8 \) (not -8)
  2. Equation: \( x - 4 = -12 \)

    • Solution: \( x = -12 + 4 = -8 \) (this is correct)
  3. Equation: \( x + 3 = -11 \)

    • Solution: \( x = -11 - 3 = -14 \) (not -8)
  4. Equation: \( x - 10 = 2 \)

    • Solution: \( x = 2 + 10 = 12 \) (not -8)

The equation that has a solution of \( -8 \) is:

\( x - 4 = -12 \)