# Question #36b7c

Dec 5, 2017

The number, $x$, is equal to $- 2$.

#### Explanation:

Let’s break it down.

“Three times the sum of five times a number . . .”

So we’re multiplying $3$ by $5$ multiplied by a number, which we’ll call $x \setminus \implies 3 \left(5 x\right)$

“ . . . and $4$

$5 x$ is being added to $4$, which we can represent as $3 \left(5 x + 4\right)$.

“ . . . is $- 18$.”

That means the above expression equals $- 18$:

$3 \left(5 x + 4\right) = - 18$

Now simply solve for $x$ by distributing the $3$:

$\setminus \implies 15 x + 12 = - 18$

Subtracting $12$ from both sides:

$\setminus \implies 15 x = - 30$

Divide both sides by $15$:

$x = - 2$