Solve the inequality 4x−2(3x−9)≤−4(2x−9)4𝑥−2(3𝑥−9)≤−4(2𝑥−9).

Sure, let's solve the inequality step by step:

4x - 2(3x - 9) ≤ -4(2x - 9)

First, distribute the 2 and -4 inside the parentheses:

4x - 6x + 18 ≤ -8x + 36

Then, simplify the equation by combining like terms:

-2x + 18 ≤ -8x + 36

Next, add 8x to both sides of the inequality to get the x terms on one side:

6x + 18 ≤ 36

Then, subtract 18 from both sides to isolate the x term:

6x ≤ 18

Finally, divide both sides by 6 to solve for x:

x ≤ 3

So, the solution to the inequality 4x - 2(3x - 9) ≤ -4(2x - 9) is x ≤ 3.