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.
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.