Solve for f 5+2f=-3f-15

$5 + 2 f = - 3 f - 15$

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

Add $3 f$ to both sides of the equation.

$5 + 2 f + 3 f = - 15$

Add $2 f$ and $3 f$ .

$5 + 5 f = - 15$

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

Subtract $5$ from both sides of the equation.

$5 f = - 15 - 5$

Subtract $5$ from $- 15$ .

$5 f = - 20$

Divide each term in $5 f = - 20$ by $5$ and simplify.

Divide each term in $5 f = - 20$ by $5$ .

$\frac{5 f}{5} = \frac{- 20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 f}{5} = \frac{- 20}{5}$

Divide $f$ by $1$ .

$f = \frac{- 20}{5}$

Simplify the right side.

Divide $- 20$ by $5$ .

$f = - 4$