Final answer:
The equation -4(2x - 1) = -6(x + 2) - 2 can be solved by simplifying and isolating the variable x. The solution is x = 9.
Step-by-step explanation:
To solve the equation -4(2x - 1) = -6(x + 2) - 2, we can start by distributing the -4 and -6 to their respective terms:
-8x + 4 = -6x - 12 - 2
Next, we can combine like terms:
-8x + 4 = -6x - 12
Then, we can add 8x to both sides to isolate the variable:
4 = 2x - 14
Finally, by adding 14 to both sides, we can find the value of x:
18 = 2x
x = 9