We have to find x given that 26|2x+1|=52.

26|2x+1|=52

cancel 26 from both the sides.

=> |2x + 1| = 2

Now |x| represents the absolute value of x and has the same value for x as well as -x.

=> 2x + 1 = 2 and 2x + 1 = -2

=> 2x = 1 and 2x = -3

=> x = 1/2 and x = -3/2

**Therefore we get x is equal to 1/2 and -3/2**

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