Hello Shenick. In order to solve this problem, you should first write down what you know. We know that 3 times a number increased by 6 is 24. In simplest terms: 3x+6=24. The phrase "3 times a number" implies that we have to multiply an unknown number by 3 and the phrase "increased by 6" implies we have to add 6 to the product of 3x. We can now solve this equation:
3x+6=24
-6 -6
3x=18
3 3
x=6