# Lisa and Jan found that 5 times the sum of a number and -2 equals 30. What is the number?

##### 1 Answer

The number is 8

#### Explanation:

We need to form an equation from the question given. Let's call our unknown number

According to the question, we need to add

According to our operations rules, +- (or -+) gives -.

5 times the sum of this gives 30, so we use brackets to show this:

We now have our equation and can solve. First, we expand the brackets (multiply each term by 5) to get:

We group like terms together by moving the numbers to one side, and

We must add 10 to the LHS to get rid of the

(

Now, to get x, we must divide

We can check this by starting with our answer in the question and obtaining 30.

I hope this helps!