simplify : 1/2( 2x-1)-(3x-3/2)

x-1/2 -3x+3/2

-2x+1 ? check that.

I don't know why I got at the end -.75

nor do I.

To simplify the given expression 1/2(2x-1)-(3x-3/2), we can follow a step-by-step procedure:

Step 1: Distribute the 1/2 to the terms inside the parenthesis.
(1/2)(2x) - (1/2)(1) - (3x) + (3/2)
= x - (1/2) - 3x + (3/2)

Step 2: Combine like terms.
x - 3x - (1/2) + (3/2)
= -2x + 1

The simplified form of the expression 1/2(2x-1)-(3x-3/2) is -2x + 1.