To find the equation with -7 as a solution, we can plug -7 in for the variable.
Option A: 4(-7) = -28
-28 - 23 ≠ 5
Option B: 5(-7) = -35
-35 + 11 = -24
Option C: -1(-7) = 7
7 + 3 ≠ -4
Option D: -3(-7) = 21
21 - 8 ≠ -29
Because -7 only plugs in for one answer, option B is our answer. The equation with a solution of -7 would be 5x + 11 = -24
