QuestionSimplify $5(2x - 3) - 8x$

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expression $5( x-3)-8 x$ . . Simplifying an expression means to perform all possible operations and combine like terms.

STEP 2

First, distribute the $5$ to both terms inside the parentheses.
$5(2x -) =5 \cdot2x -5 \cdot$

STEP 3

Perform the multiplication.
$5 \cdot2x -5 \cdot3 =10x -15$

STEP 4

Now, substitute this back into the original expression in place of $(2x -3)$ .
$10x -15 -8x$

STEP 5

Combine like terms. In this case, the like terms are $10x$ and $-8x$ .
$10x -8x -15$

STEP 6

Perform the subtraction.
$10x -8x -15 =2x -15$ So, the simplified form of the expression $5(2 x-3)-8 x$ is $2x -15$ .

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QuestionSimplify $5(2x - 3) - 8x$

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expression $5( x-3)-8 x$ . . Simplifying an expression means to perform all possible operations and combine like terms.

STEP 2

First, distribute the $5$ to both terms inside the parentheses.
$5(2x -) =5 \cdot2x -5 \cdot$

STEP 3

Perform the multiplication.
$5 \cdot2x -5 \cdot3 =10x -15$

STEP 4

Now, substitute this back into the original expression in place of $(2x -3)$ .
$10x -15 -8x$

STEP 5

Combine like terms. In this case, the like terms are $10x$ and $-8x$ .
$10x -8x -15$

STEP 6

Perform the subtraction.
$10x -8x -15 =2x -15$ So, the simplified form of the expression $5(2 x-3)-8 x$ is $2x -15$ .

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QuestionSimplify 5(2x−3)−8x5(2x - 3) - 8x5(2x−3)−8x

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the expression 5(x−3)−8x5( x-3)-8 x5(x−3)−8x. . Simplifying an expression means to perform all possible operations and combine like terms.

STEP 2

First, distribute the 555 to both terms inside the parentheses.5(2x−)=5⋅2x−5⋅5(2x -) =5 \cdot2x -5 \cdot5(2x−)=5⋅2x−5⋅

STEP 3

Perform the multiplication.5⋅2x−5⋅3=10x−155 \cdot2x -5 \cdot3 =10x -155⋅2x−5⋅3=10x−15

STEP 4

Now, substitute this back into the original expression in place of (2x−3)(2x -3)(2x−3).10x−15−8x10x -15 -8x10x−15−8x

STEP 5

Combine like terms. In this case, the like terms are 10x10x10x and −8x-8x−8x.10x−8x−1510x -8x -1510x−8x−15

STEP 6

Perform the subtraction.10x−8x−15=2x−1510x -8x -15 =2x -1510x−8x−15=2x−15So, the simplified form of the expression 5(2x−3)−8x5(2 x-3)-8 x5(2x−3)−8x is 2x−152x -152x−15.

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QuestionSimplify $5(2x - 3) - 8x$

Assumptions1. We are asked to simplify the expression $5( x-3)-8 x$ . . Simplifying an expression means to perform all possible operations and combine like terms.

First, distribute the $5$ to both terms inside the parentheses.
$5(2x -) =5 \cdot2x -5 \cdot$

Perform the multiplication.
$5 \cdot2x -5 \cdot3 =10x -15$

Now, substitute this back into the original expression in place of $(2x -3)$ .
$10x -15 -8x$

Combine like terms. In this case, the like terms are $10x$ and $-8x$ .
$10x -8x -15$

Perform the subtraction.
$10x -8x -15 =2x -15$ So, the simplified form of the expression $5(2 x-3)-8 x$ is $2x -15$ .