Solve for c 5-8x=cx+5

$5 - 8 x = c x + 5$

Step 1

Rewrite the equation as $c x + 5 = 5 - 8 x$ .

$c x + 5 = 5 - 8 x$

Step 2

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

Subtract $5$ from both sides of the equation.

$c x = 5 - 8 x - 5$

Combine the opposite terms in $5 - 8 x - 5$ .

Subtract $5$ from $5$ .

$c x = - 8 x + 0$

Add $- 8 x$ and $0$ .

$c x = - 8 x$

Step 3

Divide each term in $c x = - 8 x$ by $x$ and simplify.

Divide each term in $c x = - 8 x$ by $x$ .

$\frac{c x}{x} = \frac{- 8 x}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{c x}{x} = \frac{- 8 x}{x}$

Divide $c$ by $1$ .

$c = \frac{- 8 x}{x}$

Simplify the right side.

Cancel the common factor of $x$ .

Cancel the common factor.

$c = \frac{- 8 x}{x}$

Divide $- 8$ by $1$ .

$c = - 8$