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-4|-2x+6|=-24?

−4∣−2x+6∣=−24? -4|-2 x+6|=-24 ?

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Full solution

Q. −4∣−2x+6∣=−24? -4|-2 x+6|=-24 ?
  1. Isolate absolute value: First, let's isolate the absolute value by dividing both sides by -4＂).\(\newline\$-4|-2x+6| / -4 = -24 / -4\)\(\newline\)\(|-2x+6| = 6\)
  2. Consider both cases: Now, we need to consider both cases for the absolute value, when the inside is positive and when it's negative.\(\newline\)Case \(1\): \(-2x + 6 = 6\)\(\newline\)Case \(2\): \(-2x + 6 = -6\)
  3. Solve Case \(1\): Let's solve Case \(1\):\(\newline\)\(-2x + 6 = 6\)\(\newline\)\(-2x = 6 - 6\)\(\newline\)\(-2x = 0\)\(\newline\)\(x = 0 / -2\)\(\newline\)\(x = 0\)
  4. Solve Case \(2\): Now, let's solve Case \(2\):\(\newline\)\(-2x + 6 = -6\)\(\newline\)\(-2x = -6 - 6\)\(\newline\)\(-2x = -12\)\(\newline\)\(x = -12 / -2\)\(\newline\)\(x = 6\)

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