1/3|5x-3|=6
Absolute value equality entered
(1/3) |5x-3| = 6
Clear the absolute-value bars by splitting the equation into two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is (1/3) |5x-3|
For the Negative case, we'll use -(1/3) (5x-3)
For the Positive case, we'll use (1/3) (5x-3)
-(1/3) (5x-3) = 6
Multiply
-5x/3+1 = 6
Rearrange and add up
-5x/3 = 5
Multiply both sides by 3
-5x = 15
Divide both sides by 5
-x = 3
Multiply both sides by (-1)
x = -3
Which is the solution for the Negative Case
(1/3)(5x-3) = 6
Multiply
5x/3-1 = 6
Rearrange and add up
5x/3 = 7
Multiply both sides by 3
5x = 21
Divide both sides by 5
x = (21/5)
Which is the solution for the Positive Case
x=-3
x=21/5
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