# Eight more than four times a number is the same as two less than five times the number. What is the number?

Dec 10, 2016

The number is 10

#### Explanation:

First, let's call the number we are looking for $n$.

Eight more than four times a number can be written as:

$4 n + 8$

Two less than five times the number can be written as:

$5 n - 2$

Because these are the same we can write the following equation and solve for $n$:

$4 n + 8 = 5 n - 2$

$4 n - 4 n + 8 + 2 = 5 n - 4 n - 2 + 2$

$0 + 8 + 2 = 5 n - 4 n - 0$

$10 = n$