# How do you translate the following statement "Five less than a number is seventeen" into an algebraic expression and then find the number?

Mar 28, 2018

$x - 5 = 17$
(22)

#### Explanation:

So we know that the number we are looking for is five more than seventeen.

$x - 5 = 17$
$x = + 5 = + 5$
so we will need to add the number on the left of the equals sign to get the x by itself.
Add the 5 to the 17.
(22)
$x = 22$

So $x - 5 = 17$ would be the translated expression.

Mar 28, 2018

See the process below:

#### Explanation:

We can represent "a number" as "x".

"Five less than a number" would be the same as saying "$x - 5$", and this will be equal to 17, so the full equation is:

$x - 5 = 17$

To find the number representative of x, add five to both sides to get $x = 22$.