Solve for k 14=-2k+3

$14 = - 2 k + 3$

Step 1

Rewrite the equation as $- 2 k + 3 = 14$ .

$- 2 k + 3 = 14$

Step 2

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

Subtract $3$ from both sides of the equation.

$- 2 k = 14 - 3$

Subtract $3$ from $14$ .

$- 2 k = 11$

Step 3

Divide each term in $- 2 k = 11$ by $- 2$ and simplify.

Divide each term in $- 2 k = 11$ by $- 2$ .

$\frac{- 2 k}{- 2} = \frac{11}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 k}{- 2} = \frac{11}{- 2}$

Divide $k$ by $1$ .

$k = \frac{11}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$k = - \frac{11}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$k = - \frac{11}{2}$

Decimal Form:

$k = - 5.5$

Mixed Number Form:

$k = - 5 \frac{1}{2}$