How do you solve the equation $2/3abs(5-2x)-1/2=5$ ?

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Answer 1 · 2017-06-26T10:33:37

Solution : $x= 6 5/8 , x = -1 5/8$

$2/3 |5-2x| -1/2 =5 or 2/3 |5-2x| = 5+1/2$ or

$2/3 |5-2x| =11/2 or |5-2x| = 3/2*11/2$ or

$|5-2x| =33/4 or 5 -2x = 33/4 or 2x =5-33/4$ or

$2x=-13/4 or x = -13/8 or x = -1 5/8$ OR

$|5-2x| =33/4 or 5 -2x = -33/4 or 2x =5+33/4$ or

$2x= 53/4 or x = 53/8 or x = 6 5/8$

Solution : $x= 6 5/8 , x = -1 5/8$ [Ans]

How do you solve the equation 2/3abs(5-2x)-1/2=52/3abs(5-2x)-1/2=5?