Solve for k 6k+10.5=3k+12

$6 k + 10.5 = 3 k + 12$

Step 1

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

Subtract $3 k$ from both sides of the equation.

$6 k + 10.5 - 3 k = 12$

Subtract $3 k$ from $6 k$ .

$3 k + 10.5 = 12$

Step 2

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

Subtract $10.5$ from both sides of the equation.

$3 k = 12 - 10.5$

Subtract $10.5$ from $12$ .

$3 k = 1.5$

Step 3

Divide each term in $3 k = 1.5$ by $3$ and simplify.

Divide each term in $3 k = 1.5$ by $3$ .

$\frac{3 k}{3} = \frac{1.5}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 k}{3} = \frac{1.5}{3}$

Divide $k$ by $1$ .

$k = \frac{1.5}{3}$

Simplify the right side.

Divide $1.5$ by $3$ .

$k = 0.5$