# Three more than a number is -5. How do you find the number?

Oct 20, 2016

$x = - 8$

#### Explanation:

Examples like these are the first steps in learning how to solve problems by making and and solving an algebraic equation.

"Three more than" means 3 added to some number.

In this case, let "the number" be $x$

"Three more than a number" is written as $x + 3$

"is -5" tells us the answer. It means something $= - 5$

Put all this together ....

$x + 3 = - 5 \text{ } \leftarrow$ now solve the equation

Subtract 3 from both sides

$x + 3 \textcolor{red}{- 3} = - 5 \textcolor{red}{- 3}$

$x = - 8$