Solve the inequality 5x + 3 ≤ 3x − 6

The first step that we need to take is to take all the 'x' terms to one side of the inequality. In this case, we can subtract '3x' from both sides to obtain 2x+3 ≤ -6. Then we want to take all the non- x terms to the other side of the inequality. Hence, we subtract '3' from both sides, leaving us with 2x ≤ -9. Finally, we want this inequality in terms of 'x' alone, so we divide both sides of the inequality by '2', leaving x ≤ -9/2 as the final answer.