Solve for f 20-f=19f-20

$20 - f = 19 f - 20$

Step 1

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

Subtract $19 f$ from both sides of the equation.

$20 - f - 19 f = - 20$

Subtract $19 f$ from $- f$ .

$20 - 20 f = - 20$

Step 2

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

Subtract $20$ from both sides of the equation.

$- 20 f = - 20 - 20$

Subtract $20$ from $- 20$ .

$- 20 f = - 40$

Step 3

Divide each term in $- 20 f = - 40$ by $- 20$ and simplify.

Divide each term in $- 20 f = - 40$ by $- 20$ .

$\frac{- 20 f}{- 20} = \frac{- 40}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 f}{- 20} = \frac{- 40}{- 20}$

Divide $f$ by $1$ .

$f = \frac{- 40}{- 20}$

Simplify the right side.

Divide $- 40$ by $- 20$ .

$f = 2$