Which of the following equations has a solution of −7

Question

?(1 point)
Responses

−x+3=−4
negative x plus 3 equals negative 4

4x−23=5
4 x minus 23 equals 5

5x+11=−24
5 x plus 11 equals negative 24

−3x−8=−29

Answer 1

To find which equation has a solution of \( x = -7 \), we can substitute \(-7\) into each equation and see which one holds true.

1. Equation: \(-x + 3 = -4\)

   Substitute \( x = -7 \): \[ -(-7) + 3 = -4 \implies 7 + 3 = -4 \implies 10 \neq -4 \]

2. Equation: \( 4x - 23 = 5 \)

   Substitute \( x = -7 \): \[ 4(-7) - 23 = 5 \implies -28 - 23 = 5 \implies -51 \neq 5 \]

3. Equation: \( 5x + 11 = -24 \)

   Substitute \( x = -7 \): \[ 5(-7) + 11 = -24 \implies -35 + 11 = -24 \implies -24 = -24 \] (This one is true.)

4. Equation: \(-3x - 8 = -29\)

   Substitute \( x = -7 \): \[ -3(-7) - 8 = -29 \implies 21 - 8 = -29 \implies 13 \neq -29 \]

The equation that has a solution of \( x = -7 \) is \( 5x + 11 = -24 \).