Let's simplify the expression step by step.

First distribute the -2 to both terms inside the parentheses:

3 - 12x ≤ 12 - 2(5x) + 2

Now simplify:

3 - 12x ≤ 12 - 10x + 2

Combine like terms:

3 - 12x ≤ 14 - 10x

Next, let's get all the x terms on one side of the inequality and the constants on the other side. We can do this by adding 10x to both sides:

-2x + 3 ≤ 14

Now, subtract 3 from both sides:

-2x ≤ 11

Finally, divide by -2 to solve for x:

x ≥ -11/2

Therefore, the solution to the inequality is x is greater than or equal to -5.5.