QuestionSimplify the expression: $-4 x + 10 - (-3) + 2 x$ .

Studdy Solution

STEP 1

Assumptions1. The expression is $-4x+10-(-3)+x$ . The goal is to simplify the expression

STEP 2

We can simplify the expression by combining like terms. In this case, the like terms are the terms with the variable $x$ and the constant terms.

STEP 3

First, let's combine the $x$ terms. The $x$ terms in the expression are $-x$ and $2x$ .
$-x +2x$

STEP 4

Add the $x$ terms together.
$-4x +2x = -2x$

STEP 5

Next, let's combine the constant terms. The constant terms in the expression are $10$ and $-(-3)$ .
$10 - (-3)$

STEP 6

Subtracting a negative number is the same as adding a positive number. So, $10 - (-3)$ is the same as $10 +3$ .
$10 +3$

STEP 7

Add the constant terms together.
$10 +3 =13$

STEP 8

Now, we can combine the simplified $x$ terms and constant terms to get the simplified expression.
$-2x +13$ The simplified expression is $-2x +13$ .

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QuestionSimplify the expression: $-4 x + 10 - (-3) + 2 x$ .

Studdy Solution

STEP 1

Assumptions1. The expression is $-4x+10-(-3)+x$ . The goal is to simplify the expression

STEP 2

We can simplify the expression by combining like terms. In this case, the like terms are the terms with the variable $x$ and the constant terms.

STEP 3

First, let's combine the $x$ terms. The $x$ terms in the expression are $-x$ and $2x$ .
$-x +2x$

STEP 4

Add the $x$ terms together.
$-4x +2x = -2x$

STEP 5

Next, let's combine the constant terms. The constant terms in the expression are $10$ and $-(-3)$ .
$10 - (-3)$

STEP 6

Subtracting a negative number is the same as adding a positive number. So, $10 - (-3)$ is the same as $10 +3$ .
$10 +3$

STEP 7

Add the constant terms together.
$10 +3 =13$

STEP 8

Now, we can combine the simplified $x$ terms and constant terms to get the simplified expression.
$-2x +13$ The simplified expression is $-2x +13$ .

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QuestionSimplify the expression: −4x+10−(−3)+2x-4 x + 10 - (-3) + 2 x−4x+10−(−3)+2x.

Studdy Solution

STEP 1

Assumptions1. The expression is −4x+10−(−3)+x-4x+10-(-3)+x−4x+10−(−3)+x . The goal is to simplify the expression

STEP 2

We can simplify the expression by combining like terms. In this case, the like terms are the terms with the variable xxx and the constant terms.

STEP 3

First, let's combine the xxx terms. The xxx terms in the expression are −x-x−x and 2x2x2x.−x+2x-x +2x−x+2x

STEP 4

Add the xxx terms together.−4x+2x=−2x-4x +2x = -2x−4x+2x=−2x

STEP 5

Next, let's combine the constant terms. The constant terms in the expression are 101010 and −(−3)-(-3)−(−3).10−(−3)10 - (-3)10−(−3)

STEP 6

Subtracting a negative number is the same as adding a positive number. So, 10−(−3)10 - (-3)10−(−3) is the same as 10+310 +310+3.10+310 +310+3

STEP 7

Add the constant terms together.10+3=1310 +3 =1310+3=13

STEP 8

Now, we can combine the simplified xxx terms and constant terms to get the simplified expression.−2x+13-2x +13−2x+13The simplified expression is −2x+13-2x +13−2x+13.

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QuestionSimplify the expression: $-4 x + 10 - (-3) + 2 x$ .

Assumptions1. The expression is $-4x+10-(-3)+x$ . The goal is to simplify the expression

We can simplify the expression by combining like terms. In this case, the like terms are the terms with the variable $x$ and the constant terms.

First, let's combine the $x$ terms. The $x$ terms in the expression are $-x$ and $2x$ .
$-x +2x$

Add the $x$ terms together.
$-4x +2x = -2x$

Next, let's combine the constant terms. The constant terms in the expression are $10$ and $-(-3)$ .
$10 - (-3)$

Subtracting a negative number is the same as adding a positive number. So, $10 - (-3)$ is the same as $10 +3$ .
$10 +3$

Add the constant terms together.
$10 +3 =13$

Now, we can combine the simplified $x$ terms and constant terms to get the simplified expression.
$-2x +13$ The simplified expression is $-2x +13$ .