Solve for f -11f=7(1-2f)+5

$- 11 f = 7 (1 - 2 f) + 5$

Simplify $7 (1 - 2 f) + 5$ .

Simplify each term.

Apply the distributive property.

$- 11 f = 7 \cdot 1 + 7 (- 2 f) + 5$

Multiply $7$ by $1$ .

$- 11 f = 7 + 7 (- 2 f) + 5$

Multiply $- 2$ by $7$ .

$- 11 f = 7 - 14 f + 5$

Add $7$ and $5$ .

$- 11 f = - 14 f + 12$

Move all terms containing $f$ to the left side of the equation.

Add $14 f$ to both sides of the equation.

$- 11 f + 14 f = 12$

Add $- 11 f$ and $14 f$ .

$3 f = 12$

Divide each term in $3 f = 12$ by $3$ and simplify.

Divide each term in $3 f = 12$ by $3$ .

$\frac{3 f}{3} = \frac{12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 f}{3} = \frac{12}{3}$

Divide $f$ by $1$ .

$f = \frac{12}{3}$

Simplify the right side.

Divide $12$ by $3$ .

$f = 4$