Solve for k 8k+2m=3m+k

$8 k + 2 m = 3 m + k$

Step 1

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

Subtract $k$ from both sides of the equation.

$8 k + 2 m - k = 3 m$

Subtract $k$ from $8 k$ .

$7 k + 2 m = 3 m$

Step 2

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

Subtract $2 m$ from both sides of the equation.

$7 k = 3 m - 2 m$

Subtract $2 m$ from $3 m$ .

$7 k = m$

Step 3

Divide each term in $7 k = m$ by $7$ and simplify.

Divide each term in $7 k = m$ by $7$ .

$\frac{7 k}{7} = \frac{m}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 k}{7} = \frac{m}{7}$

Divide $k$ by $1$ .

$k = \frac{m}{7}$