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 \(x = \dfrac{-16}{3}\)
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
Go back to Practice (Absolute Value)