QuestionSimplify the expression: $2(x-4)+3(2-x)+2x+7$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(x-4)+3(-x)+ x+7$ . . We are asked to simplify this expression.

STEP 2

First, we need to distribute the multiplication in each term.
$2(x-4) =2x -8$ $(2-x) =6 -x$ The expression now becomes $2x -8 +6 -x +2x +7$

STEP 3

Next, we need to combine like terms. This means adding or subtracting all the x terms together and all the constant terms together.
The x terms are $2x$ , $-3x$ , and $2x$ .
The constant terms are $-8$ , $6$ , and $7$ .

STEP 4

Add or subtract all the x terms together.
$2x -3x +2x = x$

STEP 5

Add or subtract all the constant terms together.
$-8 + +7 =5$

STEP 6

Finally, we combine the results from steps4 and5 to get the simplified expression.
$x +5$ So, the simplified form of the expression $2(x-4)+3(2-x)+2 x+$ is $x +5$ .

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QuestionSimplify the expression: $2(x-4)+3(2-x)+2x+7$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(x-4)+3(-x)+ x+7$ . . We are asked to simplify this expression.

STEP 2

First, we need to distribute the multiplication in each term.
$2(x-4) =2x -8$ $(2-x) =6 -x$ The expression now becomes $2x -8 +6 -x +2x +7$

STEP 3

Next, we need to combine like terms. This means adding or subtracting all the x terms together and all the constant terms together.
The x terms are $2x$ , $-3x$ , and $2x$ .
The constant terms are $-8$ , $6$ , and $7$ .

STEP 4

Add or subtract all the x terms together.
$2x -3x +2x = x$

STEP 5

Add or subtract all the constant terms together.
$-8 + +7 =5$

STEP 6

Finally, we combine the results from steps4 and5 to get the simplified expression.
$x +5$ So, the simplified form of the expression $2(x-4)+3(2-x)+2 x+$ is $x +5$ .

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QuestionSimplify the expression: 2(x−4)+3(2−x)+2x+72(x-4)+3(2-x)+2x+72(x−4)+3(2−x)+2x+7.

Studdy Solution

STEP 1

Assumptions1. The given expression is (x−4)+3(−x)+x+7(x-4)+3(-x)+ x+7(x−4)+3(−x)+x+7. . We are asked to simplify this expression.

STEP 2

First, we need to distribute the multiplication in each term.2(x−4)=2x−82(x-4) =2x -82(x−4)=2x−8(2−x)=6−x(2-x) =6 -x(2−x)=6−xThe expression now becomes2x−8+6−x+2x+72x -8 +6 -x +2x +72x−8+6−x+2x+7

STEP 3

Next, we need to combine like terms. This means adding or subtracting all the x terms together and all the constant terms together.The x terms are 2x2x2x, −3x-3x−3x, and 2x2x2x.The constant terms are −8-8−8, 666, and 777.

STEP 4

Add or subtract all the x terms together.2x−3x+2x=x2x -3x +2x = x2x−3x+2x=x

STEP 5

Add or subtract all the constant terms together.−8++7=5-8 + +7 =5−8++7=5

STEP 6

Finally, we combine the results from steps4 and5 to get the simplified expression.x+5x +5x+5So, the simplified form of the expression 2(x−4)+3(2−x)+2x+2(x-4)+3(2-x)+2 x+2(x−4)+3(2−x)+2x+ is x+5x +5x+5.

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QuestionSimplify the expression: $2(x-4)+3(2-x)+2x+7$ .

Assumptions1. The given expression is $(x-4)+3(-x)+ x+7$ . . We are asked to simplify this expression.

First, we need to distribute the multiplication in each term.
$2(x-4) =2x -8$ $(2-x) =6 -x$ The expression now becomes $2x -8 +6 -x +2x +7$

Next, we need to combine like terms. This means adding or subtracting all the x terms together and all the constant terms together.
The x terms are $2x$ , $-3x$ , and $2x$ .
The constant terms are $-8$ , $6$ , and $7$ .

Add or subtract all the x terms together.
$2x -3x +2x = x$

Add or subtract all the constant terms together.
$-8 + +7 =5$

Finally, we combine the results from steps4 and5 to get the simplified expression.
$x +5$ So, the simplified form of the expression $2(x-4)+3(2-x)+2 x+$ is $x +5$ .