Solve for k 6k-25=7-2k

$6 k - 25 = 7 - 2 k$

Step 1

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

Add $2 k$ to both sides of the equation.

$6 k - 25 + 2 k = 7$

Add $6 k$ and $2 k$ .

$8 k - 25 = 7$

Step 2

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

Add $25$ to both sides of the equation.

$8 k = 7 + 25$

Add $7$ and $25$ .

$8 k = 32$

Step 3

Divide each term in $8 k = 32$ by $8$ and simplify.

Divide each term in $8 k = 32$ by $8$ .

$\frac{8 k}{8} = \frac{32}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 k}{8} = \frac{32}{8}$

Divide $k$ by $1$ .

$k = \frac{32}{8}$

Simplify the right side.

Divide $32$ by $8$ .

$k = 4$