Question 158288
One-half of a number is 2 more than 1/4 of the number.  Find the number.

Let the number be x.

1/2 times x = 1/4 times x + 2

The above equation can be written like this:

(x/2) = (x/4) + 2

Multiply each term by the LCD, which is 4.

(x/2) times 4 = 2x

(x/4) times 4 = x

2 times 4 = 8

We now have a linear equation:

2x = x + 8

2x - x = 8

x = 8

Did you follow?