Math / Algebra

Question $-4 x-5 x=$

Studdy Solution

STEP 1

What is this asking? We're asked to combine like terms!
We've got some x's running around, and we need to wrangle them up. Watch out! Don't forget those negative signs!
They're sneaky little things, always trying to trip you up.

STEP 2

1. Combine the x terms

STEP 3

We've got $-4x$ and $-5x$ .
Both terms have an $x$ , so we can factor it out!
This is like having $-4$ apples and $-5$ apples.
We can talk about how many apples we have in total.

STEP 4

Factoring out the $x$ from both terms looks like this: $x \cdot (-4 - 5)$ Remember, factoring is like reverse distributing.
We're pulling out the common factor, which is $x$ , and grouping what's left.

STEP 5

Now, let's deal with those numbers inside the parentheses.
We have $-4 - 5$ .
This is the same as $-4 + (-5)$ , which means we're adding two negative numbers.
When we add two negative numbers, we add their absolute values and keep the negative sign.
So, $-4 + (-5) = -9$ .

STEP 6

So, our expression becomes: $x \cdot (-9)$ Which is the same as: $-9x$

STEP 7

Our final answer is $-9x$ .
We've successfully combined our x terms!

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Question $-4 x-5 x=$

Studdy Solution

STEP 1

What is this asking? We're asked to combine like terms!
We've got some x's running around, and we need to wrangle them up. Watch out! Don't forget those negative signs!
They're sneaky little things, always trying to trip you up.

STEP 2

1. Combine the x terms

STEP 3

We've got $-4x$ and $-5x$ .
Both terms have an $x$ , so we can factor it out!
This is like having $-4$ apples and $-5$ apples.
We can talk about how many apples we have in total.

STEP 4

Factoring out the $x$ from both terms looks like this: $x \cdot (-4 - 5)$ Remember, factoring is like reverse distributing.
We're pulling out the common factor, which is $x$ , and grouping what's left.

STEP 5

Now, let's deal with those numbers inside the parentheses.
We have $-4 - 5$ .
This is the same as $-4 + (-5)$ , which means we're adding two negative numbers.
When we add two negative numbers, we add their absolute values and keep the negative sign.
So, $-4 + (-5) = -9$ .

STEP 6

So, our expression becomes: $x \cdot (-9)$ Which is the same as: $-9x$

STEP 7

Our final answer is $-9x$ .
We've successfully combined our x terms!

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Question−4x−5x=-4 x-5 x=−4x−5x=

Studdy Solution

STEP 1

What is this asking? We're asked to combine like terms!We've got some *x*'s running around, and we need to wrangle them up. Watch out! Don't forget those negative signs!They're sneaky little things, always trying to trip you up.

STEP 2

1. Combine the *x* terms

STEP 3

We've got −4x-4x−4x and −5x-5x−5x.Both terms have an xxx, so we can **factor it out**!This is like having −4-4−4 apples and −5-5−5 apples.We can talk about how many apples we have in total.

STEP 4

Factoring out the xxx from both terms looks like this: x⋅(−4−5) x \cdot (-4 - 5) x⋅(−4−5) Remember, factoring is like reverse distributing.We're pulling out the common factor, which is xxx, and grouping what's left.

STEP 5

STEP 6

So, our expression becomes: x⋅(−9) x \cdot (-9) x⋅(−9) Which is the same as: −9x -9x −9x

STEP 7

Our **final answer** is −9x-9x−9x.We've successfully combined our *x* terms!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question $-4 x-5 x=$

What is this asking? We're asked to combine like terms!
We've got some x's running around, and we need to wrangle them up. Watch out! Don't forget those negative signs!
They're sneaky little things, always trying to trip you up.

1. Combine the x terms

We've got $-4x$ and $-5x$ .
Both terms have an $x$ , so we can factor it out!
This is like having $-4$ apples and $-5$ apples.
We can talk about how many apples we have in total.

Factoring out the $x$ from both terms looks like this: $x \cdot (-4 - 5)$ Remember, factoring is like reverse distributing.
We're pulling out the common factor, which is $x$ , and grouping what's left.

So, our expression becomes: $x \cdot (-9)$ Which is the same as: $-9x$

Our final answer is $-9x$ .
We've successfully combined our x terms!