Solve for g 2g-4f=6f

$2 g - 4 f = 6 f$

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

Add $4 f$ to both sides of the equation.

$2 g = 6 f + 4 f$

Add $6 f$ and $4 f$ .

$2 g = 10 f$

Divide each term in $2 g = 10 f$ by $2$ and simplify.

Divide each term in $2 g = 10 f$ by $2$ .

$\frac{2 g}{2} = \frac{10 f}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 g}{2} = \frac{10 f}{2}$

Divide $g$ by $1$ .

$g = \frac{10 f}{2}$

Simplify the right side.

Cancel the common factor of $10$ and $2$ .

Factor $2$ out of $10 f$ .

$g = \frac{2 (5 f)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$g = \frac{2 (5 f)}{2 (1)}$

Cancel the common factor.

$g = \frac{2 (5 f)}{2 \cdot 1}$

Rewrite the expression.

$g = \frac{5 f}{1}$

Divide $5 f$ by $1$ .

$g = 5 f$