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Solve the absolute value equation. Check your solutions.

|x+8|=12

Solve the absolute value equation. Check your solutions.\newlinex+8=12 |x+8|=12

Full solution

Q. Solve the absolute value equation. Check your solutions.\newlinex+8=12 |x+8|=12
  1. Understand absolute value equation: Step 11: Understand the absolute value equation.\newlineThe equation x+8=12\lvert x+8 \rvert=12 means that the expression inside the absolute value, x+8x+8, can be either 1212 or 12-12.
  2. Solve for xx when x+8=12x+8=12: Step 22: Solve for xx when x+8=12x+8 = 12.x+8=12x + 8 = 12x=128x = 12 - 8x=4x = 4
  3. Solve for xx when x+8=12x+8=-12: Step 33: Solve for xx when x+8=12x+8 = -12.x+8=12x + 8 = -12x=128x = -12 - 8x=20x = -20

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