Final answer:
To solve for x in the given equation, we can distribute the coefficients, simplify the equation, and solve for x through multiplication and division.
Step-by-step explanation:
To solve for x in the equation 1/2(9x - 8) = -1/2(-4x + 4):
First, distribute the 1/2 to the terms inside the parentheses on both sides of the equation: (9/2)x - 4 = (2/2)x - 2
Next, simplify each side of the equation: (9/2)x - 4 = x - 2
Equate the x terms on both sides: (9/2)x - x = 2 - 4
Simplify the equation further: (7/2)x = -2
Finally, solve for x by multiplying both sides of the equation by 2/7: x = (-2)(2/7)
Therefore, the value of x is -4/7.