Answer:
To solve the inequality 3(x - 4) ≤ 8x + 13 for x, you can start by distributing the 3 on the left side:
3x - 12 ≤ 8x + 13
Now, you want to isolate the variable x on one side of the inequality. To do that, you can subtract 3x from both sides:
-12 ≤ 8x - 3x + 13
-12 ≤ 5x + 13
Now, subtract 13 from both sides to isolate the 5x term:
-12 - 13 ≤ 5x
-25 ≤ 5x
Now, you have the inequality:
-25 ≤ 5x
This is the result of the first step in solving the given inequality. So, the answer is:
-25 ≤ 5x