Solve for c 0.24+0.5c=-0.05+0.8c+0.02

$0.24 + 0.5 c = - 0.05 + 0.8 c + 0.02$

Step 1

Add $- 0.05$ and $0.02$ .

$0.24 + 0.5 c = 0.8 c - 0.03$

Step 2

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

Subtract $0.8 c$ from both sides of the equation.

$0.24 + 0.5 c - 0.8 c = - 0.03$

Subtract $0.8 c$ from $0.5 c$ .

$0.24 - 0.3 c = - 0.03$

Step 3

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

Subtract $0.24$ from both sides of the equation.

$- 0.3 c = - 0.03 - 0.24$

Subtract $0.24$ from $- 0.03$ .

$- 0.3 c = - 0.27$

Step 4

Divide each term in $- 0.3 c = - 0.27$ by $- 0.3$ and simplify.

Divide each term in $- 0.3 c = - 0.27$ by $- 0.3$ .

$\frac{- 0.3 c}{- 0.3} = \frac{- 0.27}{- 0.3}$

Simplify the left side.

Cancel the common factor of $- 0.3$ .

Cancel the common factor.

$\frac{- 0.3 c}{- 0.3} = \frac{- 0.27}{- 0.3}$

Divide $c$ by $1$ .

$c = \frac{- 0.27}{- 0.3}$

Simplify the right side.

Divide $- 0.27$ by $- 0.3$ .

$c = 0.9$