College Algebra / Unit 4 Alg 226 short lesson, about 20 seconds
Absolute Value Equations
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The idea
For positive k, the equation |X| = k splits into X = k or X = −k; a negative k means no solution — distance is never negative.
In practice
|2x − 1| = 7 splits: 2x − 1 = ±7, giving x = 4 or −3. Both check at distance 7.
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