Final answer:
To solve the equation, distribute the 12 and simplify, isolate the variable x, and solve for x by dividing both sides by 192.
Step-by-step explanation:
To solve the equation 12(16x - 6) = 2, we can start by distributing the 12 to both terms inside the parentheses:
12 * 16x - 12 * 6 = 2
192x - 72 = 2
Next, we can isolate the variable x by adding 72 to both sides:
192x - 72 + 72 = 2 + 72
192x = 74
Finally, we can solve for x by dividing both sides by 192:
x = 74 / 192
Therefore, the solution to the equation is x = 74 / 192.