Answer :

¹/₂x + 25 = -100
       - 25     - 25
   2 · ¹/₂x = -125 · 2
            x = -250

Check

        ¹/₂x + 25 = -100
¹/₂(-250) + 25 = -100
     -125 + 25 = -100
             -100 = -100

Your answer is correct.

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