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

1 Answer
Jun 26, 2017

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

Explanation:

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]