# Two more than 4 times a number is -18. What is the number?

Oct 4, 2017

$x = - 5$

#### Explanation:

Two more than $4$ times a number is $- 18$ is

$- 18 = 4 x + 2$

$4 x + 2 = - 18$

or

$2 + 4 x = - 18$

You subtract both sides by $2$ to get

$- 20 = 4 x$

or

$4 x = - 20$

You then divide both by $4$ to get

$x = - 5$

A negative number divided by a positive number equals a negative number.

Tell me if you have any questions!

Oct 4, 2017

$2 + 4 x = - 18$
$\therefore$ $x = - 5$

#### Explanation:

Let $x$ be the number.

2 more than 4 times a number is the same as saying $2 + 4 x$.

You then equate this to $- 18$, as the question says.

Putting the information into an equation, you get:

$2 + 4 x = - 18$

You then solve for $x$:

$2 + 4 x = - 18$
$4 x = - 20$
$\therefore$ $x = - 5$