Question Find the value of $x$ in the linear equation $3x + 2 - x = 11x + 9$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3x + - x =11x +9$ . We are solving for $x$

STEP 2

First, we simplify the equation by combining like terms on both sides.On the left side of the equation, we combine $x$ and $-x$ .
$x - x +2 =11x +9$

STEP 3

Now, simplify the left side of the equation.
$2x +2 =11x +9$

STEP 4

Next, we need to isolate $x$ on one side of the equation. We can start by subtracting $2x$ from both sides of the equation.
$2x -2x +2 =11x -2x +9$

STEP 5

implify both sides of the equation.
$2 =9x +9$

STEP 6

Now, subtract $9$ from both sides of the equation to isolate $x$ .
$2 -9 =9x +9 -9$

STEP 7

implify both sides of the equation.
$-7 =9x$

STEP 8

Finally, divide both sides of the equation by $$ to solve for $x$.
$x = -7 /$ So, $x$ is equal to $-7/$ .

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Question Find the value of $x$ in the linear equation $3x + 2 - x = 11x + 9$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3x + - x =11x +9$ . We are solving for $x$

STEP 2

First, we simplify the equation by combining like terms on both sides.On the left side of the equation, we combine $x$ and $-x$ .
$x - x +2 =11x +9$

STEP 3

Now, simplify the left side of the equation.
$2x +2 =11x +9$

STEP 4

Next, we need to isolate $x$ on one side of the equation. We can start by subtracting $2x$ from both sides of the equation.
$2x -2x +2 =11x -2x +9$

STEP 5

implify both sides of the equation.
$2 =9x +9$

STEP 6

Now, subtract $9$ from both sides of the equation to isolate $x$ .
$2 -9 =9x +9 -9$

STEP 7

implify both sides of the equation.
$-7 =9x$

STEP 8

Finally, divide both sides of the equation by $$ to solve for $x$.
$x = -7 /$ So, $x$ is equal to $-7/$ .

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Question Find the value of xxx in the linear equation 3x+2−x=11x+93x + 2 - x = 11x + 93x+2−x=11x+9.

Studdy Solution

STEP 1

Assumptions1. The given equation is 3x+−x=11x+93x + - x =11x +93x+−x=11x+9 . We are solving for xxx

STEP 2

First, we simplify the equation by combining like terms on both sides.On the left side of the equation, we combine xxx and −x-x−x.x−x+2=11x+9x - x +2 =11x +9x−x+2=11x+9

STEP 3

Now, simplify the left side of the equation.2x+2=11x+92x +2 =11x +92x+2=11x+9

STEP 4

Next, we need to isolate xxx on one side of the equation. We can start by subtracting 2x2x2x from both sides of the equation.2x−2x+2=11x−2x+92x -2x +2 =11x -2x +92x−2x+2=11x−2x+9

STEP 5

implify both sides of the equation.2=9x+92 =9x +92=9x+9

STEP 6

Now, subtract 999 from both sides of the equation to isolate xxx.2−9=9x+9−92 -9 =9x +9 -92−9=9x+9−9

STEP 7

implify both sides of the equation.−7=9x-7 =9x−7=9x

STEP 8

Finally, divide both sides of the equation by $$ to solve for $x$.x=−7/x = -7 /x=−7/So, xxx is equal to −7/-7/−7/.

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Question Find the value of $x$ in the linear equation $3x + 2 - x = 11x + 9$ .

Assumptions1. The given equation is $3x + - x =11x +9$ . We are solving for $x$

First, we simplify the equation by combining like terms on both sides.On the left side of the equation, we combine $x$ and $-x$ .
$x - x +2 =11x +9$

Now, simplify the left side of the equation.
$2x +2 =11x +9$

Next, we need to isolate $x$ on one side of the equation. We can start by subtracting $2x$ from both sides of the equation.
$2x -2x +2 =11x -2x +9$

implify both sides of the equation.
$2 =9x +9$

Now, subtract $9$ from both sides of the equation to isolate $x$ .
$2 -9 =9x +9 -9$

implify both sides of the equation.
$-7 =9x$

Finally, divide both sides of the equation by $$ to solve for $x$.
$x = -7 /$ So, $x$ is equal to $-7/$ .