3|2x-1|=3

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Hi, cnewman12512

If 3 * | 2x -1 | = 3, then dividing both sides of the equation results in the equation |2x - 1| = 1.

If |2x-1| = 1, then (A) (2x-1) = 1 or (B) (2x-1) = -1 since |1| = 1 = |-1|.

(A) If 2x -1 = 1, then (adding 1 to both sides) 2x = 2 and so (dividing both sides by 2) x = 1.

(B) If 2x-1 = -1, then (adding 1 to both sides) 2x = 0 and so (dividing both sides by 2) x = 0.

So, there are two solutions: x = 1 and x = 0. \

CHECK:

A) 3 * | 2 * 1 -1 | = 3 * | 2 - 1 | = 3 * |1| = 3

B) 3 * | 2 * 0 -1 | = 3 * | 0 - 1 | = 3 * |-1| = 3

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