Solve for k -12+5k=15-4k

$- 12 + 5 k = 15 - 4 k$

Step 1

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

Add $4 k$ to both sides of the equation.

$- 12 + 5 k + 4 k = 15$

Add $5 k$ and $4 k$ .

$- 12 + 9 k = 15$

Step 2

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

Add $12$ to both sides of the equation.

$9 k = 15 + 12$

Add $15$ and $12$ .

$9 k = 27$

Step 3

Divide each term in $9 k = 27$ by $9$ and simplify.

Divide each term in $9 k = 27$ by $9$ .

$\frac{9 k}{9} = \frac{27}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 k}{9} = \frac{27}{9}$

Divide $k$ by $1$ .

$k = \frac{27}{9}$

Simplify the right side.

Divide $27$ by $9$ .

$k = 3$