Solve for k 17k-9=2k+13k+19

$17 k - 9 = 2 k + 13 k + 19$

Step 1

Since $k$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 k + 13 k + 19 = 17 k - 9$

Step 2

Add $2 k$ and $13 k$ .

$15 k + 19 = 17 k - 9$

Step 3

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

Subtract $17 k$ from both sides of the equation.

$15 k + 19 - 17 k = - 9$

Subtract $17 k$ from $15 k$ .

$- 2 k + 19 = - 9$

Step 4

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

Subtract $19$ from both sides of the equation.

$- 2 k = - 9 - 19$

Subtract $19$ from $- 9$ .

$- 2 k = - 28$

Step 5

Divide each term in $- 2 k = - 28$ by $- 2$ and simplify.

Divide each term in $- 2 k = - 28$ by $- 2$ .

$\frac{- 2 k}{- 2} = \frac{- 28}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 k}{- 2} = \frac{- 28}{- 2}$

Divide $k$ by $1$ .

$k = \frac{- 28}{- 2}$

Simplify the right side.

Divide $- 28$ by $- 2$ .

$k = 14$