Solve for f 4(f-0.2)=5f

$4 (f - 0.2) = 5 f$

Step 1

Simplify $4 (f - 0.2)$ .

Start simplifying.

$0 + 0 + 4 (f - 0.2) = 5 f$

Simplify by adding zeros.

$4 (f - 0.2) = 5 f$

Apply the distributive property.

$4 f + 4 \cdot - 0.2 = 5 f$

Multiply $4$ by $- 0.2$ .

$4 f - 0.8 = 5 f$

Step 2

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

Subtract $5 f$ from both sides of the equation.

$4 f - 0.8 - 5 f = 0$

Subtract $5 f$ from $4 f$ .

$- f - 0.8 = 0$

Step 3

Add $0.8$ to both sides of the equation.

$- f = 0.8$

Step 4

Divide each term in $- f = 0.8$ by $- 1$ and simplify.

Divide each term in $- f = 0.8$ by $- 1$ .

$\frac{- f}{- 1} = \frac{0.8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{f}{1} = \frac{0.8}{- 1}$

Divide $f$ by $1$ .

$f = \frac{0.8}{- 1}$

Simplify the right side.

Divide $0.8$ by $- 1$ .

$f = - 0.8$