Simplify the Expression: (-x)+(-5x) Using Like Terms

Question

Simplify the following expression:

$(-x)+(-5x)=$

00:06 Let's start simplifying!

00:10 Imagine a point labeled as negative X, on our number line.

00:15 Remember, when you multiply a positive by a negative, the result is negative.

00:21 Now, let's organize the terms together for clarity.

00:25 And, that's how we find the solution to this problem!

Note the following rule:

$+(-x)=-x$

Now let's write the exercise in the following way:

$-x-5x=$

We'll add negative $x$ to the number line and move 5 steps to the left:

Therefore, the solution is:

$-x-5x=-6x$

$-6x$