# How do you solve -x - 5x = 24?

May 30, 2018

$x = - 4$

#### Explanation:

To solve this problem you first want to collect the like terms. You have two terms $- x$ and $- 5 x$.

You combine these terms to form $- 6 x$.
Instead of thinking of the problem as subtracting $5 x$ from $- x$ you can think of it as adding $- 5 x$ to $- x$.

To understand this you can simply write out the $x$'s individually.

$- x - x - x - x - x - x$

You see that when you subtract a negative from a negative it is like adding the negatives together.

We then get:

$- 6 x = 24$

After collecting like terms you can divide $24$ by $- 6$ to get the value of $x$.

$\frac{24}{-} 6 = - 4$

$\therefore x = - 4$

Therefore the answer is $- 4$.