QuestionSolve for $x$ in the equation: $4 x + 9 = 6 x - 27$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4x +9 =6x -27$ . We are solving for $x$

STEP 2

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. We can do this by subtracting $4x$ from both sides of the equation.
$4x +9 -4x =6x -27 -4x$

STEP 3

implify the equation.
$9 =2x -27$

STEP 4

Next, we need to isolate $x$ by moving the constant term from the right side to the left side. We can do this by adding $27$ to both sides of the equation.
$9 +27 =2x -27 +27$

STEP 5

implify the equation.
$36 =2x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $2$ .
$\frac{36}{2} = \frac{2x}{2}$

STEP 7

implify the equation to find the value of $x$ .
$x =18$ So, the solution to the equation $4x +9 =6x -27$ is $x =18$ .

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QuestionSolve for $x$ in the equation: $4 x + 9 = 6 x - 27$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $4x +9 =6x -27$ . We are solving for $x$

STEP 2

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. We can do this by subtracting $4x$ from both sides of the equation.
$4x +9 -4x =6x -27 -4x$

STEP 3

implify the equation.
$9 =2x -27$

STEP 4

Next, we need to isolate $x$ by moving the constant term from the right side to the left side. We can do this by adding $27$ to both sides of the equation.
$9 +27 =2x -27 +27$

STEP 5

implify the equation.
$36 =2x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $2$ .
$\frac{36}{2} = \frac{2x}{2}$

STEP 7

implify the equation to find the value of $x$ .
$x =18$ So, the solution to the equation $4x +9 =6x -27$ is $x =18$ .

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QuestionSolve for xxx in the equation: 4x+9=6x−274 x + 9 = 6 x - 274x+9=6x−27.

Studdy Solution

STEP 1

Assumptions1. The equation is 4x+9=6x−274x +9 =6x -274x+9=6x−27 . We are solving for xxx

STEP 2

First, we need to isolate xxx terms on one side of the equation and constant terms on the other side. We can do this by subtracting 4x4x4x from both sides of the equation.4x+9−4x=6x−27−4x4x +9 -4x =6x -27 -4x4x+9−4x=6x−27−4x

STEP 3

implify the equation.9=2x−279 =2x -279=2x−27

STEP 4

Next, we need to isolate xxx by moving the constant term from the right side to the left side. We can do this by adding 272727 to both sides of the equation.9+27=2x−27+279 +27 =2x -27 +279+27=2x−27+27

STEP 5

implify the equation.36=2x36 =2x36=2x

STEP 6

Finally, we need to solve for xxx by dividing both sides of the equation by 222.362=2x2\frac{36}{2} = \frac{2x}{2}236​=22x​

STEP 7

implify the equation to find the value of xxx.x=18x =18x=18So, the solution to the equation 4x+9=6x−274x +9 =6x -274x+9=6x−27 is x=18x =18x=18.

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QuestionSolve for $x$ in the equation: $4 x + 9 = 6 x - 27$ .

Assumptions1. The equation is $4x +9 =6x -27$ . We are solving for $x$

First, we need to isolate $x$ terms on one side of the equation and constant terms on the other side. We can do this by subtracting $4x$ from both sides of the equation.
$4x +9 -4x =6x -27 -4x$

implify the equation.
$9 =2x -27$

Next, we need to isolate $x$ by moving the constant term from the right side to the left side. We can do this by adding $27$ to both sides of the equation.
$9 +27 =2x -27 +27$

implify the equation.
$36 =2x$

Finally, we need to solve for $x$ by dividing both sides of the equation by $2$ .
$\frac{36}{2} = \frac{2x}{2}$

implify the equation to find the value of $x$ .
$x =18$ So, the solution to the equation $4x +9 =6x -27$ is $x =18$ .