Final answer:
The solution involves distributing -6, combining like terms, and isolating x to solve the linear equation.
Step-by-step explanation:
The solution of the equation 8 - 1/2 x = -6(3/4x - 2) + 4 involves several algebraic steps, including distributing the -6 across the parentheses, combining like terms, and then isolating the variable x on one side of the equation.
To start solving this equation, we would first distribute -6 into the terms inside the parentheses to get rid of them. Then, we combine all the x-terms on one side and the numerical terms on the other. After simplifying, we should end up with a linear equation that we can solve for x by simple algebraic manipulation, including addition, subtraction, multiplication, and division.
The step of distributing and simplifying is crucial before attempting to solve for the variable, as it puts the equation into a form where the variable can be isolated more easily.