Solved on Dec 13, 2023

Solve for $x$ in the linear equation $3x + 4 = 9x + 3$ .

STEP 1

Assumptions
1. We are given a linear equation in the form of $3x + 4 = 9x + 3$ .
2. We need to solve for the variable $x$ .

STEP 2

To find the value of $x$ , we need to isolate $x$ on one side of the equation. We can start by subtracting $3x$ from both sides of the equation to move all the $x$ terms to one side.
$3x + 4 - 3x = 9x + 3 - 3x$

STEP 3

Simplify both sides of the equation by combining like terms.
$4 = 6x + 3$

STEP 4

Next, we subtract $3$ from both sides of the equation to move the constant term to the other side.
$4 - 3 = 6x + 3 - 3$

STEP 5

Simplify both sides of the equation by combining like terms.
$1 = 6x$

STEP 6

Now, to isolate $x$ , we divide both sides of the equation by $6$ .
$\frac{1}{6} = \frac{6x}{6}$

STEP 7

Simplify both sides of the equation.
$x = \frac{1}{6}$
The solution for $x$ is $\frac{1}{6}$ .

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Solve for $x$ in the linear equation $3x + 4 = 9x + 3$ .

STEP 1

Assumptions
1. We are given a linear equation in the form of $3x + 4 = 9x + 3$ .
2. We need to solve for the variable $x$ .

STEP 2

To find the value of $x$ , we need to isolate $x$ on one side of the equation. We can start by subtracting $3x$ from both sides of the equation to move all the $x$ terms to one side.
$3x + 4 - 3x = 9x + 3 - 3x$

STEP 3

Simplify both sides of the equation by combining like terms.
$4 = 6x + 3$

STEP 4

Next, we subtract $3$ from both sides of the equation to move the constant term to the other side.
$4 - 3 = 6x + 3 - 3$

STEP 5

Simplify both sides of the equation by combining like terms.
$1 = 6x$

STEP 6

Now, to isolate $x$ , we divide both sides of the equation by $6$ .
$\frac{1}{6} = \frac{6x}{6}$

STEP 7

Simplify both sides of the equation.
$x = \frac{1}{6}$
The solution for $x$ is $\frac{1}{6}$ .

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Solve for xxx in the linear equation 3x+4=9x+33x + 4 = 9x + 33x+4=9x+3.

STEP 1

Assumptions1. We are given a linear equation in the form of 3x+4=9x+33x + 4 = 9x + 33x+4=9x+3.2. We need to solve for the variable xxx.

STEP 2

To find the value of xxx, we need to isolate xxx on one side of the equation. We can start by subtracting 3x3x3x from both sides of the equation to move all the xxx terms to one side.3x+4−3x=9x+3−3x3x + 4 - 3x = 9x + 3 - 3x3x+4−3x=9x+3−3x

STEP 3

Simplify both sides of the equation by combining like terms.4=6x+34 = 6x + 34=6x+3

STEP 4

Next, we subtract 333 from both sides of the equation to move the constant term to the other side.4−3=6x+3−34 - 3 = 6x + 3 - 34−3=6x+3−3

STEP 5

Simplify both sides of the equation by combining like terms.1=6x1 = 6x1=6x

STEP 6

Now, to isolate xxx, we divide both sides of the equation by 666.16=6x6\frac{1}{6} = \frac{6x}{6}61​=66x​

STEP 7

Simplify both sides of the equation.x=16x = \frac{1}{6}x=61​The solution for xxx is 16\frac{1}{6}61​.

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Solve for $x$ in the linear equation $3x + 4 = 9x + 3$ .

Assumptions
1. We are given a linear equation in the form of $3x + 4 = 9x + 3$ .
2. We need to solve for the variable $x$ .

To find the value of $x$ , we need to isolate $x$ on one side of the equation. We can start by subtracting $3x$ from both sides of the equation to move all the $x$ terms to one side.
$3x + 4 - 3x = 9x + 3 - 3x$

Simplify both sides of the equation by combining like terms.
$4 = 6x + 3$

Next, we subtract $3$ from both sides of the equation to move the constant term to the other side.
$4 - 3 = 6x + 3 - 3$

Simplify both sides of the equation by combining like terms.
$1 = 6x$

Now, to isolate $x$ , we divide both sides of the equation by $6$ .
$\frac{1}{6} = \frac{6x}{6}$

Simplify both sides of the equation.
$x = \frac{1}{6}$
The solution for $x$ is $\frac{1}{6}$ .