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OpenStudy (anonymous):
|1-3x|-|2x-11|=0
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hero (hero):
|1-3x|-|2x-11|=0 |1-3x| = |2x - 11| 1-3x = 11 - 2x 1-11 = 3x - 2x -10 = x or 1 - 3x = 2x - 11 1 + 11 = 2x + 3x 12 = 5x 12/5 = x 2.4 = x Therefore x = -10 or x = 2.4
hero (hero):
In general, if: \[|a - b| = |c - d|\space \text{, then:} \space a - b = c - d \space \text{or} \space a - b = d - c\]
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