Math question please show work for brainliest :)

A graph shows one solution, at ...
... B. x = 9/2
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The equation can be resolved to two:
1. For x < -4
... -(x+4) = 3x -5
... 0 = 4x -1 . . . . . . add x+4
... 0 = x -1/4 . . . . . divide by 4
... 1/4 = x . . . . . . . not in the domain x < -4 . . . . no solution
2. For x ≥ -4
... x+4 = 3x -5
... 0 = 2x -9 . . . . . subtract the left side
... 0 = x -9/2 . . . . divide by 2
... 9/2 = x . . . . . . . in the domain x ≥ -4. This is the solution.