Video Explanation

Text Explanation

In order to solve for x, we need to clear the denominators :) To do that, we need to find a number that divides evenly by 3 and 4 (with no remainder). That is the Least Common Multiple: 12. A larger multiple that both 3 and 4 have in common like 24 or 60 would also work, but a smaller number is easier to work with, so we'll use 12. Start with the equation given in the problem:

Then we multiply by 12. Don't forget that we need to multiply both sides of the equation:

Then just distribute the 12 to each term inside the parentheses, and we get:

4x + 3x + 180 = 12x

Combine like terms, and we get:

7x + 180 = 12x

Subtract 7x from both sides to get the x terms all on one side:

180 = 5x

And divide both sides by 5 to get x on its own:

36 = x, and the answer is (C).