To solve this equation, we need to consider two cases.
Case 1: 3x - 4 is positive or zero
In this case, the equation can be rewritten as 3x - 4 = 3x - 5.
Simplifying, we get -4 = -5. This is not possible.
So, there are no solutions in this case.
Case 2: 3x - 4 is negative
In this case, the equation can be rewritten as -(3x - 4) = 3x - 5.
Simplifying, we get -3x + 4 = 3x - 5.
Adding 3x to both sides, we get 4 = 6x - 5.
Adding 5 to both sides, we get 9 = 6x.
Dividing both sides by 6, we get x = 9/6.
Simplifying the fraction, we get x = 3/2.
So, the solution to the equation is x = 3/2.
|3x - 4| = |3x - 5|
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