Solve for g 5-h=2gk+4

$5 - h = 2 g k + 4$

Step 1

Rewrite the equation as $2 g k + 4 = 5 - h$ .

$2 g k + 4 = 5 - h$

Step 2

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

Subtract $4$ from both sides of the equation.

$2 g k = 5 - h - 4$

Subtract $4$ from $5$ .

$2 g k = - h + 1$

Step 3

Divide each term in $2 g k = - h + 1$ by $2 k$ and simplify.

Divide each term in $2 g k = - h + 1$ by $2 k$ .

$\frac{2 g k}{2 k} = \frac{- h}{2 k} + \frac{1}{2 k}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 g k}{2 k} = \frac{- h}{2 k} + \frac{1}{2 k}$

Rewrite the expression.

$\frac{g k}{k} = \frac{- h}{2 k} + \frac{1}{2 k}$

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{g k}{k} = \frac{- h}{2 k} + \frac{1}{2 k}$

Divide $g$ by $1$ .

$g = \frac{- h}{2 k} + \frac{1}{2 k}$

Simplify the right side.

Move the negative in front of the fraction.

$g = - \frac{h}{2 k} + \frac{1}{2 k}$