To solve the equation 3/4(x-1) = -1/2, we can start by simplifying both sides of the equation.

First, let’s distribute the 3/4 to the terms inside the parentheses:

(3/4)(x-1) = -1/2 (3/4)x - (3/4)(1) = -1/2 (3/4)x - 3/4 = -1/2

Next, let’s get rid of the fraction by multiplying both sides of the equation by 4:

4[(3/4)x - 3/4] = 4(-1/2) 3x - 3 = -2

Now, let’s isolate the variable x by adding 3 to both sides of the equation:

3x - 3 + 3 = -2 + 3 3x = 1

Finally, divide both sides of the equation by 3 to solve for x:

(3x)/3 = 1/3 x = 1/3

Therefore, the solution to the equation 3/4(x-1) = -1/2 is x = 1/3.