Solve for k 8+5k=-10+9k-10

$8 + 5 k = - 10 + 9 k - 10$

Step 1

Subtract $10$ from $- 10$ .

$8 + 5 k = 9 k - 20$

Step 2

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

Subtract $9 k$ from both sides of the equation.

$8 + 5 k - 9 k = - 20$

Subtract $9 k$ from $5 k$ .

$8 - 4 k = - 20$

Step 3

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

Subtract $8$ from both sides of the equation.

$- 4 k = - 20 - 8$

Subtract $8$ from $- 20$ .

$- 4 k = - 28$

Step 4

Divide each term in $- 4 k = - 28$ by $- 4$ and simplify.

Divide each term in $- 4 k = - 28$ by $- 4$ .

$\frac{- 4 k}{- 4} = \frac{- 28}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 k}{- 4} = \frac{- 28}{- 4}$

Divide $k$ by $1$ .

$k = \frac{- 28}{- 4}$

Simplify the right side.

Divide $- 28$ by $- 4$ .

$k = 7$