Final answer:
To solve for x in the given equation, we simplify and solve the equation step by step to find x = -16/7.
Step-by-step explanation:
To solve for x in the equation 12(1/2x + 2) - 10 = -3(x - 2) + 2x - 8, we need to simplify and solve for x.
Distribute and simplify both sides of the equation:
6x + 24 - 10 = -3x + 6 + 2x - 8
Combine like terms:
6x + 14 = -x - 2
Move all variables to one side and constants to the other:
7x = -16
Divide both sides by 7:
x = -16/7
So, the value of x is -16/7.