Solve for f 7f+g=5 ; for f

$7 f + g = 5$ ; for $f$

Subtract $g$ from both sides of the equation.

$7 f = 5 - g$

Divide each term in $7 f = 5 - g$ by $7$ and simplify.

Divide each term in $7 f = 5 - g$ by $7$ .

$\frac{7 f}{7} = \frac{5}{7} + \frac{- g}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 f}{7} = \frac{5}{7} + \frac{- g}{7}$

Divide $f$ by $1$ .

$f = \frac{5}{7} + \frac{- g}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$f = \frac{5}{7} - \frac{g}{7}$