1/2 (6x-4)= 4x-9

3x - 2 = 4x - 9

x = -7

Ms Sue meant to say

x = 7

Thanks, again, Reiny. :-)

To solve the equation 1/2(6x-4) = 4x-9, we can follow these steps:

Step 1: Distribute the 1/2 to both terms inside the parentheses:
(1/2)(6x) - (1/2)(4) = 4x - 9

This simplifies to:
3x - 2 = 4x - 9

Step 2: Move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 3x from both sides:
3x - 3x - 2 = 4x - 3x - 9

Simplifying further:
-2 = x - 9

Step 3: Move the constant term (-9) to the other side of the equation by adding 9 to both sides:
-2 + 9 = x - 9 + 9

Simplifying:
7 = x

Therefore, the solution to the equation 1/2(6x-4) = 4x-9 is x = 7.