Use the inequality to answer the following question

Question

3(x-4)≤8x+13
Which of the following inequalities could be the result of the first step in solving the inequality for x?

Answer 1

To solve the inequality for x, we will need to simplify the equation. The first step is to distribute the 3 on the left side of the equation:

3(x-4) ≤ 8x + 13

3x - 12 ≤ 8x + 13

Now, we can subtract 3x from both sides:

-12 ≤ 5x + 13

To isolate x, we can subtract 13 from both sides:

-25 ≤ 5x

The resulting inequality is -25 ≤ 5x.