QuestionFind the sum of $5x - 2 + 3x$ and $5(7 - x)$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the sum of $5x-+3x$ and $5(7-x)$ . The operations of addition, subtraction, and multiplication are defined as usual in mathematics

STEP 2

First, we simplify the expression $5(7-x)$ . We can do this by distributing the $5$ to both $7$ and $-x$ .
$5(7-x) =5 \\times7 -5 \\times x$

STEP 3

Now, plug in the values and calculate the result.
$5(7-x) =35 -5x$

STEP 4

Now, we add the simplified expression $35 -x$ to the first expression $x-2+3x$ .
$Sum = (x-2+3x) + (35 -x)$

STEP 5

We simplify the expression by combining like terms.
$Sum = (5x +3x -5x) + (-2 +35)$

STEP 6

Calculate the sum of the like terms.
$Sum =3x +33$ So, the sum of $5x-2+3x$ and $5(-x)$ is $3x +33$ .

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QuestionFind the sum of $5x - 2 + 3x$ and $5(7 - x)$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the sum of $5x-+3x$ and $5(7-x)$ . The operations of addition, subtraction, and multiplication are defined as usual in mathematics

STEP 2

First, we simplify the expression $5(7-x)$ . We can do this by distributing the $5$ to both $7$ and $-x$ .
$5(7-x) =5 \\times7 -5 \\times x$

STEP 3

Now, plug in the values and calculate the result.
$5(7-x) =35 -5x$

STEP 4

Now, we add the simplified expression $35 -x$ to the first expression $x-2+3x$ .
$Sum = (x-2+3x) + (35 -x)$

STEP 5

We simplify the expression by combining like terms.
$Sum = (5x +3x -5x) + (-2 +35)$

STEP 6

Calculate the sum of the like terms.
$Sum =3x +33$ So, the sum of $5x-2+3x$ and $5(-x)$ is $3x +33$ .

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QuestionFind the sum of 5x−2+3x5x - 2 + 3x5x−2+3x and 5(7−x)5(7 - x)5(7−x).

Studdy Solution

STEP 1

Assumptions1. We are asked to find the sum of 5x−+3x5x-+3x5x−+3x and 5(7−x)5(7-x)5(7−x). The operations of addition, subtraction, and multiplication are defined as usual in mathematics

STEP 2

First, we simplify the expression 5(7−x)5(7-x)5(7−x). We can do this by distributing the 555 to both 777 and −x-x−x.5(7−x)=5times7−5timesx5(7-x) =5 \\times7 -5 \\times x5(7−x)=5times7−5timesx

STEP 3

Now, plug in the values and calculate the result.5(7−x)=35−5x5(7-x) =35 -5x5(7−x)=35−5x

STEP 4

Now, we add the simplified expression 35−x35 -x35−x to the first expression x−2+3xx-2+3xx−2+3x.Sum=(x−2+3x)+(35−x)Sum = (x-2+3x) + (35 -x)Sum=(x−2+3x)+(35−x)

STEP 5

We simplify the expression by combining like terms.Sum=(5x+3x−5x)+(−2+35)Sum = (5x +3x -5x) + (-2 +35)Sum=(5x+3x−5x)+(−2+35)

STEP 6

Calculate the sum of the like terms.Sum=3x+33Sum =3x +33Sum=3x+33So, the sum of 5x−2+3x5x-2+3x5x−2+3x and 5(−x)5(-x)5(−x) is 3x+333x +333x+33.

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QuestionFind the sum of $5x - 2 + 3x$ and $5(7 - x)$ .

Assumptions1. We are asked to find the sum of $5x-+3x$ and $5(7-x)$ . The operations of addition, subtraction, and multiplication are defined as usual in mathematics

First, we simplify the expression $5(7-x)$ . We can do this by distributing the $5$ to both $7$ and $-x$ .
$5(7-x) =5 \\times7 -5 \\times x$

Now, plug in the values and calculate the result.
$5(7-x) =35 -5x$

Now, we add the simplified expression $35 -x$ to the first expression $x-2+3x$ .
$Sum = (x-2+3x) + (35 -x)$

We simplify the expression by combining like terms.
$Sum = (5x +3x -5x) + (-2 +35)$

Calculate the sum of the like terms.
$Sum =3x +33$ So, the sum of $5x-2+3x$ and $5(-x)$ is $3x +33$ .