Simplify the Expression: (-x)-(+3x) Using Sign Rules

Simplify the following expression:

(−x)−(+3x)= ? (-x)-(+3x)=\text{ ?}

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00:00 Simply
00:03 Negative times positive is always negative
00:06 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Simplify the following expression:

(−x)−(+3x)= ? (-x)-(+3x)=\text{ ?}

2

Step-by-step solution

Note the following rule:

−(+x)=−x -(+x)=-x

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

−x−3x= -x-3x=

We'll add negative x x to the values on the number line and move 3 steps to the left:

-X-X-X-4X-4X-4X-3X-3X-3X-2X-2X-2X

Therefore, the solution is:

−x−3x=−4x -x-3x=-4x

3

Final Answer

−4x -4x

Practice Quiz

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a is negative number.

b is negative number.

What is the sum of a+b?

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