# If 12 is added to half of a number, the result is one more than the original number. What is the original number?

##### 1 Answer

May 23, 2017

#### Explanation:

We can find the original number by setting up an equation. Let's call the number

#x/2 +12 = x+1#

Half of a number

#x/2-x = -11#

Here, we brought all terms with variables to one side, and all other terms on the other. Now we need to isolate the variable. Start by rewriting the terms on the left.

#x/2 - (2x)/2 = -11#

Now we can subtract them.

#-x/2 = -11#

Divide out a

#x/2 = 11#

Now multiply both sides by

#x = 22#