To solve for x, we need to isolate the variable on one side of the equation.
Starting with the given equation: -4(2x - 11) = 12
First, we distribute the -4 to both terms inside the parentheses: -8x + 44 = 12
Next, we subtract 44 from both sides of the equation to isolate the variable term: -8x = -32
Lastly, we divide both sides of the equation by -8 to solve for x:
x = (-32) / (-8)
x = 4
Therefore, the solution to the equation is x = 4.