Solve for c -5c+d=2c ; for c

$- 5 c + d = 2 c$ ; for $c$

Step 1

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

Subtract $2 c$ from both sides of the equation.

$- 5 c + d - 2 c = 0$

Subtract $2 c$ from $- 5 c$ .

$- 7 c + d = 0$

Step 2

Subtract $d$ from both sides of the equation.

$- 7 c = - d$

Step 3

Divide each term in $- 7 c = - d$ by $- 7$ and simplify.

Divide each term in $- 7 c = - d$ by $- 7$ .

$\frac{- 7 c}{- 7} = \frac{- d}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 c}{- 7} = \frac{- d}{- 7}$

Divide $c$ by $1$ .

$c = \frac{- d}{- 7}$

Simplify the right side.

Dividing two negative values results in a positive value.

$c = \frac{d}{7}$