Solve for g (2g-h)/f=5

$\frac{2 g - h}{f} = 5$

Multiply both sides by $f$ .

$\frac{2 g - h}{f} f = 5 f$

Simplify the left side.

Cancel the common factor of $f$ .

Cancel the common factor.

$\frac{2 g - h}{f} f = 5 f$

Rewrite the expression.

$2 g - h = 5 f$

Solve for $g$ .

Add $h$ to both sides of the equation.

$2 g = 5 f + h$

Divide each term in $2 g = 5 f + h$ by $2$ and simplify.

Divide each term in $2 g = 5 f + h$ by $2$ .

$\frac{2 g}{2} = \frac{5 f}{2} + \frac{h}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 g}{2} = \frac{5 f}{2} + \frac{h}{2}$

Divide $g$ by $1$ .

$g = \frac{5 f}{2} + \frac{h}{2}$