please help me out with this equation Solve Select the corre

please help me out with this equation

Solve Select the correct choice below and, if nec

Solution

|5 -5x| = |5x +3|

when (5 -5x)>0 and (5x +3) >0

5 -5x = 5x +3

10x = 2 ; x= 1/5

when (5 -5x)<0 and (5x +3) >0

5x -5 = 5x +3 ;

-5 = 3 . No solution

when (5 -5x)>0 and (5x +3) <0

5 -5x = -5x -3

5 = -3 . No solution

when (5 -5x)<0 and (5x +3) <0

5 -5x = 5x +3

10x = 2 ; x = 1/5

Solution x = 1/5