Math / Algebra

QuestionSimplify by first removing the parentheses and then combi $2-1 x$

Studdy Solution

STEP 1

What is this asking? We need to simplify an expression by getting rid of parentheses and combining similar terms. Watch out! Be super careful with the signs when removing parentheses, especially when there's a minus sign in front!

STEP 2

1. Remove parentheses
2. Combine like terms

STEP 3

Alright, let's rewrite our expression: $3x - (2 - 4x)$ .
Notice that sneaky minus sign in front of the parentheses?
It's like multiplying everything inside by $-1$ !

STEP 4

So, distributing the $-1$ to each term inside the parentheses, we get: $3x + (-1) \cdot 2 + (-1) \cdot (-4x)$ .

STEP 5

Multiplying gives us: $3x - 2 + 4x$ .
See how the signs flipped inside?
The 2 became -2 and the -4x became +4x.
That's the magic of distributing the negative sign!

STEP 6

Now, let's group our like terms together.
We've got $3x$ and $4x$ , which are both terms with $x$ .
We also have $-2$ , which is a constant term all by itself.
So, we can rewrite our expression as: $3x + 4x - 2$ .

STEP 7

Adding the $x$ terms, $3x + 4x$ gives us $7x$ .
So, our simplified expression becomes $7x - 2$ .
We can't combine $7x$ and $-2$ because they're not like terms.
It's like trying to add apples and oranges!

STEP 8

Our final simplified expression is $7x - 2$ .

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QuestionSimplify by first removing the parentheses and then combi $2-1 x$

Studdy Solution

STEP 1

What is this asking? We need to simplify an expression by getting rid of parentheses and combining similar terms. Watch out! Be super careful with the signs when removing parentheses, especially when there's a minus sign in front!

STEP 2

1. Remove parentheses
2. Combine like terms

STEP 3

Alright, let's rewrite our expression: $3x - (2 - 4x)$ .
Notice that sneaky minus sign in front of the parentheses?
It's like multiplying everything inside by $-1$ !

STEP 4

So, distributing the $-1$ to each term inside the parentheses, we get: $3x + (-1) \cdot 2 + (-1) \cdot (-4x)$ .

STEP 5

Multiplying gives us: $3x - 2 + 4x$ .
See how the signs flipped inside?
The 2 became -2 and the -4x became +4x.
That's the magic of distributing the negative sign!

STEP 6

Now, let's group our like terms together.
We've got $3x$ and $4x$ , which are both terms with $x$ .
We also have $-2$ , which is a constant term all by itself.
So, we can rewrite our expression as: $3x + 4x - 2$ .

STEP 7

Adding the $x$ terms, $3x + 4x$ gives us $7x$ .
So, our simplified expression becomes $7x - 2$ .
We can't combine $7x$ and $-2$ because they're not like terms.
It's like trying to add apples and oranges!

STEP 8

Our final simplified expression is $7x - 2$ .

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QuestionSimplify by first removing the parentheses and then combi 2−1x2-1 x2−1x

Studdy Solution

STEP 1

What is this asking? We need to simplify an expression by getting rid of parentheses and combining similar terms. Watch out! Be super careful with the signs when removing parentheses, especially when there's a minus sign in front!

STEP 2

1. Remove parentheses2. Combine like terms

STEP 3

Alright, let's **rewrite** our expression: 3x−(2−4x)3x - (2 - 4x)3x−(2−4x).Notice that sneaky minus sign in front of the parentheses?It's like multiplying everything inside by −1-1−1!

STEP 4

So, distributing the −1-1−1 to each term inside the parentheses, we get: 3x+(−1)⋅2+(−1)⋅(−4x)3x + (-1) \cdot 2 + (-1) \cdot (-4x)3x+(−1)⋅2+(−1)⋅(−4x).

STEP 5

Multiplying gives us: 3x−2+4x3x - 2 + 4x3x−2+4x.See how the signs flipped inside?The **2** became **-2** and the **-4x** became **+4x**.That's the magic of distributing the negative sign!

STEP 6

Now, let's **group** our like terms together.We've got 3x3x3x and 4x4x4x, which are both terms with xxx.We also have −2-2−2, which is a constant term all by itself.So, we can rewrite our expression as: 3x+4x−23x + 4x - 23x+4x−2.

STEP 7

Adding the xxx terms, 3x+4x3x + 4x3x+4x gives us 7x7x7x.So, our simplified expression becomes 7x−27x - 27x−2.We can't combine 7x7x7x and −2-2−2 because they're not like terms.It's like trying to add apples and oranges!

STEP 8

Our **final simplified expression** is 7x−27x - 27x−2.

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Start learning now

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

QuestionSimplify by first removing the parentheses and then combi $2-1 x$

1. Remove parentheses
2. Combine like terms

Alright, let's rewrite our expression: $3x - (2 - 4x)$ .
Notice that sneaky minus sign in front of the parentheses?
It's like multiplying everything inside by $-1$ !

So, distributing the $-1$ to each term inside the parentheses, we get: $3x + (-1) \cdot 2 + (-1) \cdot (-4x)$ .

Multiplying gives us: $3x - 2 + 4x$ .
See how the signs flipped inside?
The 2 became -2 and the -4x became +4x.
That's the magic of distributing the negative sign!

Now, let's group our like terms together.
We've got $3x$ and $4x$ , which are both terms with $x$ .
We also have $-2$ , which is a constant term all by itself.
So, we can rewrite our expression as: $3x + 4x - 2$ .

Adding the $x$ terms, $3x + 4x$ gives us $7x$ .
So, our simplified expression becomes $7x - 2$ .
We can't combine $7x$ and $-2$ because they're not like terms.
It's like trying to add apples and oranges!

Our final simplified expression is $7x - 2$ .