Solve for k 3/(k+3)=8/(k-2)

$\frac{3}{k + 3} = \frac{8}{k - 2}$

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$3 \cdot (k - 2) = (k + 3) \cdot 8$

Solve the equation for $k$ .

Tap for more steps…

Simplify $3 \cdot (k - 2)$ .

Tap for more steps…

Apply the distributive property.

$3 k + 3 \cdot - 2 = (k + 3) \cdot 8$

Multiply $3$ by $- 2$ .

$3 k - 6 = (k + 3) \cdot 8$

Simplify $(k + 3) \cdot 8$ .

Tap for more steps…

Apply the distributive property.

$3 k - 6 = k \cdot 8 + 3 \cdot 8$

Simplify the expression.

Tap for more steps…

Move $8$ to the left of $k$ .

$3 k - 6 = 8 \cdot k + 3 \cdot 8$

Multiply $3$ by $8$ .

$3 k - 6 = 8 k + 24$

Move all terms containing $k$ to the left side of the equation.

Tap for more steps…

Subtract $8 k$ from both sides of the equation.

$3 k - 6 - 8 k = 24$

Subtract $8 k$ from $3 k$ .

$- 5 k - 6 = 24$

Move all terms not containing $k$ to the right side of the equation.

Tap for more steps…

Add $6$ to both sides of the equation.

$- 5 k = 24 + 6$

Add $24$ and $6$ .

$- 5 k = 30$

Divide each term by $- 5$ and simplify.

Tap for more steps…

Divide each term in $- 5 k = 30$ by $- 5$ .

$\frac{- 5 k}{- 5} = \frac{30}{- 5}$

Cancel the common factor of $- 5$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 5 k}{- 5} = \frac{30}{- 5}$

Divide $k$ by $1$ .

$k = \frac{30}{- 5}$

Divide $30$ by $- 5$ .

$k = - 6$

Solve for k 3/(k+3)=8/(k-2)

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store