The equation is 3a - 5 = -(2a - 3). Solve for a/2.

Answer

To find the value of a/2, we first need to solve for 'a' using the given equation: 3a - 5 = -(2a - 3). Step 1: Distribute the negative sign on the right side of the equation. This gives us 3a - 5 = -2a + 3. Step 2: Move the variable terms to one side by adding 2a to both sides. 3a + 2a - 5 = 3, which simplifies to 5a - 5 = 3. Step 3: Move the constant terms to the other side by adding 5 to both sides. 5a = 3 + 5, so 5a = 8. Step 4: Divide by 5 to isolate 'a'. a = 8/5, or 1.6. Step 5: The question asks for the value of a/2. Substitute the value of a into the expression: (8/5) / 2 = 8 / (5 * 2) = 8/10. Simplifed, this is 4/5 or 0.8.