Solve the inequality.
\[
2 x-4 x \leq x+2
\]
The solution set is $\{x$
(Use integers or fractions for any numbers in the expression.)
Answer
Final Answer: The solution set is \(\boxed{\{x | x \leq -\frac{2}{3}\}}\).
Step 1 ：The inequality is in the form of a linear inequality. To solve it, we need to simplify the inequality and isolate the variable x on one side of the inequality.
Step 2 ：Simplify the inequality to get \(-2x \leq x + 2\).
Step 3 ：Solving for x gives the solution \(x = -\frac{2}{3}\).
Step 4 ：Check if this solution satisfies the original inequality. Substituting \(x = -\frac{2}{3}\) into the original inequality, we find that it holds true.
Step 5 ：Therefore, the solution set is \(\{x | x \leq -\frac{2}{3}\}\).
Step 6 ：Final Answer: The solution set is \(\boxed{\{x | x \leq -\frac{2}{3}\}}\).
