1. \(|2x – 7| + 3 = 8\)
\(|2x – 7| = 5\)
\(2x – 7 = 5\) or \(2x – 7 = -5\) ; \(x = 6\) or \(x = 1\)
2. \(|3x + 2| – 2 = 12\)
\(|3x + 2| = 14\)
\(3x + 2 = 14\) or \(3x + 2 = -14\); \(x = 4\) or \(x = \frac{-16}{3}\)
3. \(2 – |x + 3| = -7\)
\(-|x + 3| = – 9\) or \(|x + 3| = 9\) ; \(x = 6\) or \(x = -12\)
4. \(1 – |3x -2| = 10\)
\(-|3x – 2| | = 9\) or \(|3x – 2| = -9|\); no solution