Final answer:
The value of x in the equation 6x - 12 = 8x - 4 is found by first isolating the x terms on one side and then dividing by the coefficient of x to solve for x, resulting in x = -4.
Step-by-step explanation:
To find the value of x in the given equation 6x - 12 = 8x - 4, we will start by moving all terms containing x to one side, and the constant terms to the other side. This is done by subtracting 6x from both sides, and adding 12 to both sides, resulting in the following equation:
-12 + 12 = 8x - 6x - 4 + 12
Which simplifies to:
0 = 2x + 8
Next, we subtract 8 from both sides and obtain:
-8 = 2x
Finally, we divide both sides by 2 to solve for x:
x = -4
Therefore, the value of x is -4.