QuestionSolve for $x$ : $7x - 9 - 11 = 3x + 4 + 2x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $7x -9 -11 =3x +4 +x$ . The goal is to solve for $x$

STEP 2

First, simplify both sides of the equation by combining like terms.
On the left side, combine $7x$ with $-9$ and $-11$ .
On the right side, combine $x$ , $4$ , and $2x$ .
$7x -20 =5x +4$

STEP 3

To isolate $x$ , we need to get all terms with $x$ on one side of the equation and the constants on the other side.Subtract $5x$ from both sides of the equation.
$7x -5x -20 =$

STEP 4

implify the left side of the equation by combining $7x -x$ .
$2x -20 =4$

STEP 5

Next, add $20$ to both sides of the equation to isolate the $x$ term on one side.
$2x =4 +20$

STEP 6

implify the right side of the equation by adding $4$ and $20$ .
$2x =24$

STEP 7

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$x = \frac{24}{2}$

STEP 8

implify the right side of the equation by dividing $24$ by $2$ .
$x =12$ The solution to the equation is $x =12$ .

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QuestionSolve for $x$ : $7x - 9 - 11 = 3x + 4 + 2x$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $7x -9 -11 =3x +4 +x$ . The goal is to solve for $x$

STEP 2

First, simplify both sides of the equation by combining like terms.
On the left side, combine $7x$ with $-9$ and $-11$ .
On the right side, combine $x$ , $4$ , and $2x$ .
$7x -20 =5x +4$

STEP 3

To isolate $x$ , we need to get all terms with $x$ on one side of the equation and the constants on the other side.Subtract $5x$ from both sides of the equation.
$7x -5x -20 =$

STEP 4

implify the left side of the equation by combining $7x -x$ .
$2x -20 =4$

STEP 5

Next, add $20$ to both sides of the equation to isolate the $x$ term on one side.
$2x =4 +20$

STEP 6

implify the right side of the equation by adding $4$ and $20$ .
$2x =24$

STEP 7

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$x = \frac{24}{2}$

STEP 8

implify the right side of the equation by dividing $24$ by $2$ .
$x =12$ The solution to the equation is $x =12$ .

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QuestionSolve for xxx: 7x−9−11=3x+4+2x7x - 9 - 11 = 3x + 4 + 2x7x−9−11=3x+4+2x.

Studdy Solution

STEP 1

Assumptions1. The equation is 7x−9−11=3x+4+x7x -9 -11 =3x +4 +x7x−9−11=3x+4+x . The goal is to solve for xxx

STEP 2

First, simplify both sides of the equation by combining like terms.On the left side, combine 7x7x7x with −9-9−9 and −11-11−11.On the right side, combine xxx, 444, and 2x2x2x.7x−20=5x+47x -20 =5x +47x−20=5x+4

STEP 3

To isolate xxx, we need to get all terms with xxx on one side of the equation and the constants on the other side.Subtract 5x5x5x from both sides of the equation.7x−5x−20=7x -5x -20 =7x−5x−20=

STEP 4

implify the left side of the equation by combining 7x−x7x -x7x−x.2x−20=42x -20 =42x−20=4

STEP 5

Next, add 202020 to both sides of the equation to isolate the xxx term on one side.2x=4+202x =4 +202x=4+20

STEP 6

implify the right side of the equation by adding 444 and 202020.2x=242x =242x=24

STEP 7

Finally, divide both sides of the equation by 222 to solve for xxx.x=242x = \frac{24}{2}x=224​

STEP 8

implify the right side of the equation by dividing 242424 by 222.x=12x =12x=12The solution to the equation is x=12x =12x=12.

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QuestionSolve for $x$ : $7x - 9 - 11 = 3x + 4 + 2x$ .

Assumptions1. The equation is $7x -9 -11 =3x +4 +x$ . The goal is to solve for $x$

First, simplify both sides of the equation by combining like terms.
On the left side, combine $7x$ with $-9$ and $-11$ .
On the right side, combine $x$ , $4$ , and $2x$ .
$7x -20 =5x +4$

To isolate $x$ , we need to get all terms with $x$ on one side of the equation and the constants on the other side.Subtract $5x$ from both sides of the equation.
$7x -5x -20 =$

implify the left side of the equation by combining $7x -x$ .
$2x -20 =4$

Next, add $20$ to both sides of the equation to isolate the $x$ term on one side.
$2x =4 +20$

implify the right side of the equation by adding $4$ and $20$ .
$2x =24$

Finally, divide both sides of the equation by $2$ to solve for $x$ .
$x = \frac{24}{2}$

implify the right side of the equation by dividing $24$ by $2$ .
$x =12$ The solution to the equation is $x =12$ .