QuestionSimplify: a. $5x - 2 - 3x$ ; b. $5x - (2 - 3x)$ . What are the simplified forms?

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expressions $5x - -3x$ and $5x - ( -3x)$ . The variable $x$ can be any real number

STEP 2

First, we need to simplify the expression $5x -2 -x$ by combining like terms. $5x -2 -x = (5x -x) -2$

STEP 3

Now, subtract the coefficients of $x$ to simplify the expression further.
$5x -3x =2x$ So, the simplified expression becomes $2x -2$

STEP 4

Next, we need to simplify the expression $x - (2 -3x)$ .First, we distribute the negative sign inside the parentheses. $x - (2 -3x) =x -2 +3x$

STEP 5

Now, combine like terms to simplify the expression further.
$5x -2 +3x = (5x +3x) -2$

STEP 6

Add the coefficients of $x$ to simplify the expression.
$5x +3x =8x$ So, the simplified expression becomes $8x -2$

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QuestionSimplify: a. $5x - 2 - 3x$ ; b. $5x - (2 - 3x)$ . What are the simplified forms?

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expressions $5x - -3x$ and $5x - ( -3x)$ . The variable $x$ can be any real number

STEP 2

First, we need to simplify the expression $5x -2 -x$ by combining like terms. $5x -2 -x = (5x -x) -2$

STEP 3

Now, subtract the coefficients of $x$ to simplify the expression further.
$5x -3x =2x$ So, the simplified expression becomes $2x -2$

STEP 4

Next, we need to simplify the expression $x - (2 -3x)$ .First, we distribute the negative sign inside the parentheses. $x - (2 -3x) =x -2 +3x$

STEP 5

Now, combine like terms to simplify the expression further.
$5x -2 +3x = (5x +3x) -2$

STEP 6

Add the coefficients of $x$ to simplify the expression.
$5x +3x =8x$ So, the simplified expression becomes $8x -2$

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QuestionSimplify: a. 5x−2−3x5x - 2 - 3x5x−2−3x; b. 5x−(2−3x)5x - (2 - 3x)5x−(2−3x). What are the simplified forms?

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expressions 5x−−3x5x - -3x5x−−3x and 5x−(−3x)5x - ( -3x)5x−(−3x). The variable xxx can be any real number

STEP 2

First, we need to simplify the expression 5x−2−x5x -2 -x5x−2−x by combining like terms.5x−2−x=(5x−x)−25x -2 -x = (5x -x) -25x−2−x=(5x−x)−2

STEP 3

Now, subtract the coefficients of xxx to simplify the expression further.5x−3x=2x5x -3x =2x5x−3x=2xSo, the simplified expression becomes2x−22x -22x−2

STEP 4

Next, we need to simplify the expression x−(2−3x)x - (2 -3x)x−(2−3x).First, we distribute the negative sign inside the parentheses.x−(2−3x)=x−2+3xx - (2 -3x) =x -2 +3xx−(2−3x)=x−2+3x

STEP 5

Now, combine like terms to simplify the expression further.5x−2+3x=(5x+3x)−25x -2 +3x = (5x +3x) -25x−2+3x=(5x+3x)−2

STEP 6

Add the coefficients of xxx to simplify the expression.5x+3x=8x5x +3x =8x5x+3x=8xSo, the simplified expression becomes8x−28x -28x−2

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QuestionSimplify: a. $5x - 2 - 3x$ ; b. $5x - (2 - 3x)$ . What are the simplified forms?

Assumptions1. We are asked to simplify the expressions $5x - -3x$ and $5x - ( -3x)$ . The variable $x$ can be any real number

First, we need to simplify the expression $5x -2 -x$ by combining like terms. $5x -2 -x = (5x -x) -2$

Now, subtract the coefficients of $x$ to simplify the expression further.
$5x -3x =2x$ So, the simplified expression becomes $2x -2$

Next, we need to simplify the expression $x - (2 -3x)$ .First, we distribute the negative sign inside the parentheses. $x - (2 -3x) =x -2 +3x$

Now, combine like terms to simplify the expression further.
$5x -2 +3x = (5x +3x) -2$

Add the coefficients of $x$ to simplify the expression.
$5x +3x =8x$ So, the simplified expression becomes $8x -2$