Solve the equation 3|2x-5|=12

D:  {1/2, 4 1/2} or {0.5, 4.5}

Step-by-step explanation:

Start by simplifying this equation.  Divding both sides by 3, we get:

|2x - 5| = 4

Now divide all terms by 2 to isolate x inside the absolute value signs:

|x - 5/2| = 2

We regard 5/2 as the center; the two solutions are 2 units distant from this center on either side:

Case 1:  x = 5/2 + 2, or x = 9/2, or x = 4.5

Case 2:  x = 5/2 - 2, or x = 1/2, or x = 0.5

Check:  is 9/2 two units to the right of the 'center' 5/2?  Is 5/2 + 2 = 9/2?  YES

Is 12 two units to the left of the 'center' 5/2?  Is 5/2 - 4/2 = 1/2?  YES

The solution set is D:  {1/2, 4 1/2} or {0.5, 4.5}

answer: i feel you honey.

step-by-step explanation: