Solved on Feb 09, 2024

Solve $30kx - 6kx = 8$ for $x$ .

STEP 1

Assumptions
1. The equation to solve is $30kx - 6kx = 8$ .
2. We assume $k$ is a constant.
3. We are solving for the variable $x$ .

STEP 2

Combine like terms on the left side of the equation by subtracting $6kx$ from $30kx$ .
$30kx - 6kx = 8$

STEP 3

Perform the subtraction to simplify the left side of the equation.
$(30k - 6k)x = 8$

STEP 4

Continue simplifying the left side by combining the coefficients of $x$ .
$24kx = 8$

STEP 5

To solve for $x$ , divide both sides of the equation by $24k$ .
$\frac{24kx}{24k} = \frac{8}{24k}$

STEP 6

Simplify the left side of the equation by canceling out $24k$ .
$x = \frac{8}{24k}$

STEP 7

Reduce the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is $8$ .
$x = \frac{8/8}{24k/8}$

STEP 8

Complete the simplification of the fraction.
$x = \frac{1}{3k}$
Thus, the solution for $x$ is $\frac{1}{3k}$ .

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Solve $30kx - 6kx = 8$ for $x$ .

STEP 1

Assumptions
1. The equation to solve is $30kx - 6kx = 8$ .
2. We assume $k$ is a constant.
3. We are solving for the variable $x$ .

STEP 2

Combine like terms on the left side of the equation by subtracting $6kx$ from $30kx$ .
$30kx - 6kx = 8$

STEP 3

Perform the subtraction to simplify the left side of the equation.
$(30k - 6k)x = 8$

STEP 4

Continue simplifying the left side by combining the coefficients of $x$ .
$24kx = 8$

STEP 5

To solve for $x$ , divide both sides of the equation by $24k$ .
$\frac{24kx}{24k} = \frac{8}{24k}$

STEP 6

Simplify the left side of the equation by canceling out $24k$ .
$x = \frac{8}{24k}$

STEP 7

Reduce the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is $8$ .
$x = \frac{8/8}{24k/8}$

STEP 8

Complete the simplification of the fraction.
$x = \frac{1}{3k}$
Thus, the solution for $x$ is $\frac{1}{3k}$ .

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Solve 30kx−6kx=830kx - 6kx = 830kx−6kx=8 for xxx.

STEP 1

Assumptions1. The equation to solve is 30kx−6kx=830kx - 6kx = 830kx−6kx=8.2. We assume kkk is a constant.3. We are solving for the variable xxx.

STEP 2

Combine like terms on the left side of the equation by subtracting 6kx6kx6kx from 30kx30kx30kx.30kx−6kx=830kx - 6kx = 830kx−6kx=8

STEP 3

Perform the subtraction to simplify the left side of the equation.(30k−6k)x=8(30k - 6k)x = 8(30k−6k)x=8

STEP 4

Continue simplifying the left side by combining the coefficients of xxx.24kx=824kx = 824kx=8

STEP 5

To solve for xxx, divide both sides of the equation by 24k24k24k.24kx24k=824k\frac{24kx}{24k} = \frac{8}{24k}24k24kx​=24k8​

STEP 6

Simplify the left side of the equation by canceling out 24k24k24k.x=824kx = \frac{8}{24k}x=24k8​

STEP 7

Reduce the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is 888.x=8/824k/8x = \frac{8/8}{24k/8}x=24k/88/8​

STEP 8

Complete the simplification of the fraction.x=13kx = \frac{1}{3k}x=3k1​Thus, the solution for xxx is 13k\frac{1}{3k}3k1​.

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Solve $30kx - 6kx = 8$ for $x$ .

Assumptions
1. The equation to solve is $30kx - 6kx = 8$ .
2. We assume $k$ is a constant.
3. We are solving for the variable $x$ .

Combine like terms on the left side of the equation by subtracting $6kx$ from $30kx$ .
$30kx - 6kx = 8$

Perform the subtraction to simplify the left side of the equation.
$(30k - 6k)x = 8$

Continue simplifying the left side by combining the coefficients of $x$ .
$24kx = 8$

To solve for $x$ , divide both sides of the equation by $24k$ .
$\frac{24kx}{24k} = \frac{8}{24k}$

Simplify the left side of the equation by canceling out $24k$ .
$x = \frac{8}{24k}$

Reduce the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is $8$ .
$x = \frac{8/8}{24k/8}$

Complete the simplification of the fraction.
$x = \frac{1}{3k}$
Thus, the solution for $x$ is $\frac{1}{3k}$ .