To solve the equation, we need to consider two cases:
When 5x-4 is positive:5x-4 = 85x = 12x = 12/5
When 5x-4 is negative:-(5x-4) = 8-5x+4 = 8-5x = 4x = -4/5
Therefore, the solutions to the equation |5x-4|=8 are x = 12/5 and x = -4/5.
To solve the equation, we need to consider two cases:
When 5x-4 is positive:
5x-4 = 8
5x = 12
x = 12/5
When 5x-4 is negative:
-(5x-4) = 8
-5x+4 = 8
-5x = 4
x = -4/5
Therefore, the solutions to the equation |5x-4|=8 are x = 12/5 and x = -4/5.